Finding the Third Proportional to 14,688 and 32,022

Step by Step Solution

1. Step 1: Write the proportion equation
   14,688 : 32,022 = 32,022 : x
2. Step 2: Convert to fraction form
   14,688/32,022 = 32,022/x
3. Step 3: Cross multiply
   14,688x = 32,022 × 32,022
4. Step 4: Simplify right side
   14,688x = 1,025,408,484
5. Step 5: Solve for x
   x = 1,025,408,484/14,688
6. Step 6: Final answer
   x = 69,812.67