Finding the Third Proportional to 12,144.38 and 17,780.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,144.38 : 17,780.63 = 17,780.63 : x
2. Step 2: Convert to fraction form
   12,144.38/17,780.63 = 17,780.63/x
3. Step 3: Cross multiply
   12,144.38x = 17,780.63 × 17,780.63
4. Step 4: Simplify right side
   12,144.38x = 316,150,625.39
5. Step 5: Solve for x
   x = 316,150,625.39/12,144.38
6. Step 6: Final answer
   x = 26,032.68