Finding the Third Proportional to 35,446 and 76,760

Step by Step Solution

1. Step 1: Write the proportion equation
   35,446 : 76,760 = 76,760 : x
2. Step 2: Convert to fraction form
   35,446/76,760 = 76,760/x
3. Step 3: Cross multiply
   35,446x = 76,760 × 76,760
4. Step 4: Simplify right side
   35,446x = 5,892,097,600
5. Step 5: Solve for x
   x = 5,892,097,600/35,446
6. Step 6: Final answer
   x = 166,227.43