Finding the Third Proportional to 33,766 and 71,572

Step by Step Solution

1. Step 1: Write the proportion equation
   33,766 : 71,572 = 71,572 : x
2. Step 2: Convert to fraction form
   33,766/71,572 = 71,572/x
3. Step 3: Cross multiply
   33,766x = 71,572 × 71,572
4. Step 4: Simplify right side
   33,766x = 5,122,551,184
5. Step 5: Solve for x
   x = 5,122,551,184/33,766
6. Step 6: Final answer
   x = 151,707.37