Finding the Third Proportional to 5,141.80 and 7,679.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,141.80 : 7,679.06 = 7,679.06 : x
2. Step 2: Convert to fraction form
   5,141.80/7,679.06 = 7,679.06/x
3. Step 3: Cross multiply
   5,141.80x = 7,679.06 × 7,679.06
4. Step 4: Simplify right side
   5,141.80x = 58,967,978.38
5. Step 5: Solve for x
   x = 58,967,978.38/5,141.80
6. Step 6: Final answer
   x = 11,468.35