Finding the Third Proportional to 5,644.69 and 8,758.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.69 : 8,758.13 = 8,758.13 : x
2. Step 2: Convert to fraction form
   5,644.69/8,758.13 = 8,758.13/x
3. Step 3: Cross multiply
   5,644.69x = 8,758.13 × 8,758.13
4. Step 4: Simplify right side
   5,644.69x = 76,704,753.52
5. Step 5: Solve for x
   x = 76,704,753.52/5,644.69
6. Step 6: Final answer
   x = 13,588.84