Finding the Third Proportional to 15,766 and 32,048

Step by Step Solution

1. Step 1: Write the proportion equation
   15,766 : 32,048 = 32,048 : x
2. Step 2: Convert to fraction form
   15,766/32,048 = 32,048/x
3. Step 3: Cross multiply
   15,766x = 32,048 × 32,048
4. Step 4: Simplify right side
   15,766x = 1,027,074,304
5. Step 5: Solve for x
   x = 1,027,074,304/15,766
6. Step 6: Final answer
   x = 65,144.89