Finding the Third Proportional to 6,119 and 12,523

Step by Step Solution

1. Step 1: Write the proportion equation
   6,119 : 12,523 = 12,523 : x
2. Step 2: Convert to fraction form
   6,119/12,523 = 12,523/x
3. Step 3: Cross multiply
   6,119x = 12,523 × 12,523
4. Step 4: Simplify right side
   6,119x = 156,825,529
5. Step 5: Solve for x
   x = 156,825,529/6,119
6. Step 6: Final answer
   x = 25,629.27