Finding the Third Proportional to 5,644.69 and 7,540.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.69 : 7,540.59 = 7,540.59 : x
2. Step 2: Convert to fraction form
   5,644.69/7,540.59 = 7,540.59/x
3. Step 3: Cross multiply
   5,644.69x = 7,540.59 × 7,540.59
4. Step 4: Simplify right side
   5,644.69x = 56,860,554.10
5. Step 5: Solve for x
   x = 56,860,554.10/5,644.69
6. Step 6: Final answer
   x = 10,073.29