Finding the Third Proportional to 33,120 and 71,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 71,572.50 = 71,572.50 : x
2. Step 2: Convert to fraction form
   33,120/71,572.50 = 71,572.50/x
3. Step 3: Cross multiply
   33,120x = 71,572.50 × 71,572.50
4. Step 4: Simplify right side
   33,120x = 5,122,622,756.25
5. Step 5: Solve for x
   x = 5,122,622,756.25/33,120
6. Step 6: Final answer
   x = 154,668.56