Finding the Third Proportional to 33,755 and 72,705

Step by Step Solution

1. Step 1: Write the proportion equation
   33,755 : 72,705 = 72,705 : x
2. Step 2: Convert to fraction form
   33,755/72,705 = 72,705/x
3. Step 3: Cross multiply
   33,755x = 72,705 × 72,705
4. Step 4: Simplify right side
   33,755x = 5,286,017,025
5. Step 5: Solve for x
   x = 5,286,017,025/33,755
6. Step 6: Final answer
   x = 156,599.53