Finding the Third Proportional to 15,684 and 32,139

Step by Step Solution

1. Step 1: Write the proportion equation
   15,684 : 32,139 = 32,139 : x
2. Step 2: Convert to fraction form
   15,684/32,139 = 32,139/x
3. Step 3: Cross multiply
   15,684x = 32,139 × 32,139
4. Step 4: Simplify right side
   15,684x = 1,032,915,321
5. Step 5: Solve for x
   x = 1,032,915,321/15,684
6. Step 6: Final answer
   x = 65,857.90