Finding the Third Proportional to 5,149.83 and 7,726.01

Step by Step Solution

1. Step 1: Write the proportion equation
   5,149.83 : 7,726.01 = 7,726.01 : x
2. Step 2: Convert to fraction form
   5,149.83/7,726.01 = 7,726.01/x
3. Step 3: Cross multiply
   5,149.83x = 7,726.01 × 7,726.01
4. Step 4: Simplify right side
   5,149.83x = 59,691,196.72
5. Step 5: Solve for x
   x = 59,691,196.72/5,149.83
6. Step 6: Final answer
   x = 11,590.91