Finding the Third Proportional to 72,757.50 and 109,407

Step by Step Solution

1. Step 1: Write the proportion equation
   72,757.50 : 109,407 = 109,407 : x
2. Step 2: Convert to fraction form
   72,757.50/109,407 = 109,407/x
3. Step 3: Cross multiply
   72,757.50x = 109,407 × 109,407
4. Step 4: Simplify right side
   72,757.50x = 11,969,891,649
5. Step 5: Solve for x
   x = 11,969,891,649/72,757.50
6. Step 6: Final answer
   x = 164,517.63