Finding the Third Proportional to 14,596 and 32,016

Step by Step Solution

1. Step 1: Write the proportion equation
   14,596 : 32,016 = 32,016 : x
2. Step 2: Convert to fraction form
   14,596/32,016 = 32,016/x
3. Step 3: Cross multiply
   14,596x = 32,016 × 32,016
4. Step 4: Simplify right side
   14,596x = 1,025,024,256
5. Step 5: Solve for x
   x = 1,025,024,256/14,596
6. Step 6: Final answer
   x = 70,226.38