Finding the Third Proportional to 33,200.50 and 71,585

Step by Step Solution

1. Step 1: Write the proportion equation
   33,200.50 : 71,585 = 71,585 : x
2. Step 2: Convert to fraction form
   33,200.50/71,585 = 71,585/x
3. Step 3: Cross multiply
   33,200.50x = 71,585 × 71,585
4. Step 4: Simplify right side
   33,200.50x = 5,124,412,225
5. Step 5: Solve for x
   x = 5,124,412,225/33,200.50
6. Step 6: Final answer
   x = 154,347.44