Finding the Third Proportional to 12,123 and 17,786.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,123 : 17,786.25 = 17,786.25 : x
2. Step 2: Convert to fraction form
   12,123/17,786.25 = 17,786.25/x
3. Step 3: Cross multiply
   12,123x = 17,786.25 × 17,786.25
4. Step 4: Simplify right side
   12,123x = 316,350,689.06
5. Step 5: Solve for x
   x = 316,350,689.06/12,123
6. Step 6: Final answer
   x = 26,095.08