Finding the Third Proportional to 6,123 and 12,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123 : 12,691.50 = 12,691.50 : x
2. Step 2: Convert to fraction form
   6,123/12,691.50 = 12,691.50/x
3. Step 3: Cross multiply
   6,123x = 12,691.50 × 12,691.50
4. Step 4: Simplify right side
   6,123x = 161,074,172.25
5. Step 5: Solve for x
   x = 161,074,172.25/6,123
6. Step 6: Final answer
   x = 26,306.41