Finding the Third Proportional to 8,123 and 12,725

Step by Step Solution

1. Step 1: Write the proportion equation
   8,123 : 12,725 = 12,725 : x
2. Step 2: Convert to fraction form
   8,123/12,725 = 12,725/x
3. Step 3: Cross multiply
   8,123x = 12,725 × 12,725
4. Step 4: Simplify right side
   8,123x = 161,925,625
5. Step 5: Solve for x
   x = 161,925,625/8,123
6. Step 6: Final answer
   x = 19,934.21