Finding the Third Proportional to 14,582.25 and 21,565.88

Step by Step Solution

1. Step 1: Write the proportion equation
   14,582.25 : 21,565.88 = 21,565.88 : x
2. Step 2: Convert to fraction form
   14,582.25/21,565.88 = 21,565.88/x
3. Step 3: Cross multiply
   14,582.25x = 21,565.88 × 21,565.88
4. Step 4: Simplify right side
   14,582.25x = 465,086,964.52
5. Step 5: Solve for x
   x = 465,086,964.52/14,582.25
6. Step 6: Final answer
   x = 31,894.05