Finding the Third Proportional to 14,632 and 32,038

Step by Step Solution

1. Step 1: Write the proportion equation
   14,632 : 32,038 = 32,038 : x
2. Step 2: Convert to fraction form
   14,632/32,038 = 32,038/x
3. Step 3: Cross multiply
   14,632x = 32,038 × 32,038
4. Step 4: Simplify right side
   14,632x = 1,026,433,444
5. Step 5: Solve for x
   x = 1,026,433,444/14,632
6. Step 6: Final answer
   x = 70,149.91