Finding the Third Proportional to 72,738 and 109,755

Step by Step Solution

1. Step 1: Write the proportion equation
   72,738 : 109,755 = 109,755 : x
2. Step 2: Convert to fraction form
   72,738/109,755 = 109,755/x
3. Step 3: Cross multiply
   72,738x = 109,755 × 109,755
4. Step 4: Simplify right side
   72,738x = 12,046,160,025
5. Step 5: Solve for x
   x = 12,046,160,025/72,738
6. Step 6: Final answer
   x = 165,610.27