Finding the Third Proportional to 6,098.63 and 8,695.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,098.63 : 8,695.69 = 8,695.69 : x
2. Step 2: Convert to fraction form
   6,098.63/8,695.69 = 8,695.69/x
3. Step 3: Cross multiply
   6,098.63x = 8,695.69 × 8,695.69
4. Step 4: Simplify right side
   6,098.63x = 75,614,981.10
5. Step 5: Solve for x
   x = 75,614,981.10/6,098.63
6. Step 6: Final answer
   x = 12,398.69