Finding the Third Proportional to 5,116.50 and 7,639.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.50 : 7,639.88 = 7,639.88 : x
2. Step 2: Convert to fraction form
   5,116.50/7,639.88 = 7,639.88/x
3. Step 3: Cross multiply
   5,116.50x = 7,639.88 × 7,639.88
4. Step 4: Simplify right side
   5,116.50x = 58,367,690.02
5. Step 5: Solve for x
   x = 58,367,690.02/5,116.50
6. Step 6: Final answer
   x = 11,407.74