Finding the Third Proportional to 35,462,353.50 and 76,977,864

Step by Step Solution

1. Step 1: Write the proportion equation
   35,462,353.50 : 76,977,864 = 76,977,864 : x
2. Step 2: Convert to fraction form
   35,462,353.50/76,977,864 = 76,977,864/x
3. Step 3: Cross multiply
   35,462,353.50x = 76,977,864 × 76,977,864
4. Step 4: Simplify right side
   35,462,353.50x = 5,925,591,546,002,496
5. Step 5: Solve for x
   x = 5,925,591,546,002,496/35,462,353.50
6. Step 6: Final answer
   x = 167,095,270.37