Finding the Third Proportional to 32,416 and 70,688

Step by Step Solution

1. Step 1: Write the proportion equation
   32,416 : 70,688 = 70,688 : x
2. Step 2: Convert to fraction form
   32,416/70,688 = 70,688/x
3. Step 3: Cross multiply
   32,416x = 70,688 × 70,688
4. Step 4: Simplify right side
   32,416x = 4,996,793,344
5. Step 5: Solve for x
   x = 4,996,793,344/32,416
6. Step 6: Final answer
   x = 154,145.90