Finding the Third Proportional to 35,539,682,022,604 and 72,078,659,096,344

Step by Step Solution

1. Step 1: Write the proportion equation
   35,539,682,022,604 : 72,078,659,096,344 = 72,078,659,096,344 : x
2. Step 2: Convert to fraction form
   35,539,682,022,604/72,078,659,096,344 = 72,078,659,096,344/x
3. Step 3: Cross multiply
   35,539,682,022,604x = 72,078,659,096,344 × 72,078,659,096,344
4. Step 4: Simplify right side
   35,539,682,022,604x = 5,195,333,097,126,974,183,278,903,296
5. Step 5: Solve for x
   x = 5,195,333,097,126,974,183,278,903,296/35,539,682,022,604
6. Step 6: Final answer
   x = 146,184,006,199,679.31