Finding the Third Proportional to 32,688 and 71,676

Step by Step Solution

1. Step 1: Write the proportion equation
   32,688 : 71,676 = 71,676 : x
2. Step 2: Convert to fraction form
   32,688/71,676 = 71,676/x
3. Step 3: Cross multiply
   32,688x = 71,676 × 71,676
4. Step 4: Simplify right side
   32,688x = 5,137,448,976
5. Step 5: Solve for x
   x = 5,137,448,976/32,688
6. Step 6: Final answer
   x = 157,166.21