Finding the Third Proportional to 15,686 and 32,143

Step by Step Solution

1. Step 1: Write the proportion equation
   15,686 : 32,143 = 32,143 : x
2. Step 2: Convert to fraction form
   15,686/32,143 = 32,143/x
3. Step 3: Cross multiply
   15,686x = 32,143 × 32,143
4. Step 4: Simplify right side
   15,686x = 1,033,172,449
5. Step 5: Solve for x
   x = 1,033,172,449/15,686
6. Step 6: Final answer
   x = 65,865.90