Finding the Third Proportional to 5,296.50 and 8,197.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,296.50 : 8,197.88 = 8,197.88 : x
2. Step 2: Convert to fraction form
   5,296.50/8,197.88 = 8,197.88/x
3. Step 3: Cross multiply
   5,296.50x = 8,197.88 × 8,197.88
4. Step 4: Simplify right side
   5,296.50x = 67,205,154.52
5. Step 5: Solve for x
   x = 67,205,154.52/5,296.50
6. Step 6: Final answer
   x = 12,688.60