Finding the Third Proportional to 5,116.75 and 8,086.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.75 : 8,086.88 = 8,086.88 : x
2. Step 2: Convert to fraction form
   5,116.75/8,086.88 = 8,086.88/x
3. Step 3: Cross multiply
   5,116.75x = 8,086.88 × 8,086.88
4. Step 4: Simplify right side
   5,116.75x = 65,397,547.27
5. Step 5: Solve for x
   x = 65,397,547.27/5,116.75
6. Step 6: Final answer
   x = 12,781.07