Finding the Third Proportional to 32,696 and 71,610

Step by Step Solution

1. Step 1: Write the proportion equation
   32,696 : 71,610 = 71,610 : x
2. Step 2: Convert to fraction form
   32,696/71,610 = 71,610/x
3. Step 3: Cross multiply
   32,696x = 71,610 × 71,610
4. Step 4: Simplify right side
   32,696x = 5,127,992,100
5. Step 5: Solve for x
   x = 5,127,992,100/32,696
6. Step 6: Final answer
   x = 156,838.52