Finding the Third Proportional to 33,617 and 71,650

Step by Step Solution

1. Step 1: Write the proportion equation
   33,617 : 71,650 = 71,650 : x
2. Step 2: Convert to fraction form
   33,617/71,650 = 71,650/x
3. Step 3: Cross multiply
   33,617x = 71,650 × 71,650
4. Step 4: Simplify right side
   33,617x = 5,133,722,500
5. Step 5: Solve for x
   x = 5,133,722,500/33,617
6. Step 6: Final answer
   x = 152,712.10