Finding the Third Proportional to 33,020 and 72,572

Step by Step Solution

1. Step 1: Write the proportion equation
   33,020 : 72,572 = 72,572 : x
2. Step 2: Convert to fraction form
   33,020/72,572 = 72,572/x
3. Step 3: Cross multiply
   33,020x = 72,572 × 72,572
4. Step 4: Simplify right side
   33,020x = 5,266,695,184
5. Step 5: Solve for x
   x = 5,266,695,184/33,020
6. Step 6: Final answer
   x = 159,500.16