Finding the Third Proportional to 6,102 and 12,494

Step by Step Solution

1. Step 1: Write the proportion equation
   6,102 : 12,494 = 12,494 : x
2. Step 2: Convert to fraction form
   6,102/12,494 = 12,494/x
3. Step 3: Cross multiply
   6,102x = 12,494 × 12,494
4. Step 4: Simplify right side
   6,102x = 156,100,036
5. Step 5: Solve for x
   x = 156,100,036/6,102
6. Step 6: Final answer
   x = 25,581.78