Finding the Third Proportional to 5,161.88 and 8,540.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,161.88 : 8,540.06 = 8,540.06 : x
2. Step 2: Convert to fraction form
   5,161.88/8,540.06 = 8,540.06/x
3. Step 3: Cross multiply
   5,161.88x = 8,540.06 × 8,540.06
4. Step 4: Simplify right side
   5,161.88x = 72,932,667.50
5. Step 5: Solve for x
   x = 72,932,667.50/5,161.88
6. Step 6: Final answer
   x = 14,129.10