Finding the Third Proportional to 15,102 and 32,038

Step by Step Solution

1. Step 1: Write the proportion equation
   15,102 : 32,038 = 32,038 : x
2. Step 2: Convert to fraction form
   15,102/32,038 = 32,038/x
3. Step 3: Cross multiply
   15,102x = 32,038 × 32,038
4. Step 4: Simplify right side
   15,102x = 1,026,433,444
5. Step 5: Solve for x
   x = 1,026,433,444/15,102
6. Step 6: Final answer
   x = 67,966.72