Finding the Third Proportional to 12,123 and 18,137.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,123 : 18,137.25 = 18,137.25 : x
2. Step 2: Convert to fraction form
   12,123/18,137.25 = 18,137.25/x
3. Step 3: Cross multiply
   12,123x = 18,137.25 × 18,137.25
4. Step 4: Simplify right side
   12,123x = 328,959,837.56
5. Step 5: Solve for x
   x = 328,959,837.56/12,123
6. Step 6: Final answer
   x = 27,135.18