Finding the Third Proportional to 9,493.88 and 14,382.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,493.88 : 14,382.56 = 14,382.56 : x
2. Step 2: Convert to fraction form
   9,493.88/14,382.56 = 14,382.56/x
3. Step 3: Cross multiply
   9,493.88x = 14,382.56 × 14,382.56
4. Step 4: Simplify right side
   9,493.88x = 206,858,104.07
5. Step 5: Solve for x
   x = 206,858,104.07/9,493.88
6. Step 6: Final answer
   x = 21,788.59