Finding the Third Proportional to 14,688 and 32,157

Step by Step Solution

1. Step 1: Write the proportion equation
   14,688 : 32,157 = 32,157 : x
2. Step 2: Convert to fraction form
   14,688/32,157 = 32,157/x
3. Step 3: Cross multiply
   14,688x = 32,157 × 32,157
4. Step 4: Simplify right side
   14,688x = 1,034,072,649
5. Step 5: Solve for x
   x = 1,034,072,649/14,688
6. Step 6: Final answer
   x = 70,402.55