Finding the Third Proportional to 6,532.88 and 9,525.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,532.88 : 9,525.38 = 9,525.38 : x
2. Step 2: Convert to fraction form
   6,532.88/9,525.38 = 9,525.38/x
3. Step 3: Cross multiply
   6,532.88x = 9,525.38 × 9,525.38
4. Step 4: Simplify right side
   6,532.88x = 90,732,768.89
5. Step 5: Solve for x
   x = 90,732,768.89/6,532.88
6. Step 6: Final answer
   x = 13,888.64