Finding the Third Proportional to 32,724 and 70,676

Step by Step Solution

1. Step 1: Write the proportion equation
   32,724 : 70,676 = 70,676 : x
2. Step 2: Convert to fraction form
   32,724/70,676 = 70,676/x
3. Step 3: Cross multiply
   32,724x = 70,676 × 70,676
4. Step 4: Simplify right side
   32,724x = 4,995,096,976
5. Step 5: Solve for x
   x = 4,995,096,976/32,724
6. Step 6: Final answer
   x = 152,643.23