Finding the Third Proportional to 5,143.50 and 7,682.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,143.50 : 7,682.63 = 7,682.63 : x
2. Step 2: Convert to fraction form
   5,143.50/7,682.63 = 7,682.63/x
3. Step 3: Cross multiply
   5,143.50x = 7,682.63 × 7,682.63
4. Step 4: Simplify right side
   5,143.50x = 59,022,726.89
5. Step 5: Solve for x
   x = 59,022,726.89/5,143.50
6. Step 6: Final answer
   x = 11,475.21