Finding the Third Proportional to 14,842 and 32,048

Step by Step Solution

1. Step 1: Write the proportion equation
   14,842 : 32,048 = 32,048 : x
2. Step 2: Convert to fraction form
   14,842/32,048 = 32,048/x
3. Step 3: Cross multiply
   14,842x = 32,048 × 32,048
4. Step 4: Simplify right side
   14,842x = 1,027,074,304
5. Step 5: Solve for x
   x = 1,027,074,304/14,842
6. Step 6: Final answer
   x = 69,200.53