Finding the Third Proportional to 4,890.38 and 7,540.59

Step by Step Solution

1. Step 1: Write the proportion equation
   4,890.38 : 7,540.59 = 7,540.59 : x
2. Step 2: Convert to fraction form
   4,890.38/7,540.59 = 7,540.59/x
3. Step 3: Cross multiply
   4,890.38x = 7,540.59 × 7,540.59
4. Step 4: Simplify right side
   4,890.38x = 56,860,554.10
5. Step 5: Solve for x
   x = 56,860,554.10/4,890.38
6. Step 6: Final answer
   x = 11,627.03