Finding the Third Proportional to 9,565.59 and 14,653.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,565.59 : 14,653.41 = 14,653.41 : x
2. Step 2: Convert to fraction form
   9,565.59/14,653.41 = 14,653.41/x
3. Step 3: Cross multiply
   9,565.59x = 14,653.41 × 14,653.41
4. Step 4: Simplify right side
   9,565.59x = 214,722,314.73
5. Step 5: Solve for x
   x = 214,722,314.73/9,565.59
6. Step 6: Final answer
   x = 22,447.36