Finding the Third Proportional to 33,937.88 and 71,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,937.88 : 71,644.50 = 71,644.50 : x
2. Step 2: Convert to fraction form
   33,937.88/71,644.50 = 71,644.50/x
3. Step 3: Cross multiply
   33,937.88x = 71,644.50 × 71,644.50
4. Step 4: Simplify right side
   33,937.88x = 5,132,934,380.25
5. Step 5: Solve for x
   x = 5,132,934,380.25/33,937.88
6. Step 6: Final answer
   x = 151,245.01