Finding the Third Proportional to 33,650 and 72,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,650 : 72,872.50 = 72,872.50 : x
2. Step 2: Convert to fraction form
   33,650/72,872.50 = 72,872.50/x
3. Step 3: Cross multiply
   33,650x = 72,872.50 × 72,872.50
4. Step 4: Simplify right side
   33,650x = 5,310,401,256.25
5. Step 5: Solve for x
   x = 5,310,401,256.25/33,650
6. Step 6: Final answer
   x = 157,812.82