Finding the Third Proportional to 11,787.19 and 17,680.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,787.19 : 17,680.78 = 17,680.78 : x
2. Step 2: Convert to fraction form
   11,787.19/17,680.78 = 17,680.78/x
3. Step 3: Cross multiply
   11,787.19x = 17,680.78 × 17,680.78
4. Step 4: Simplify right side
   11,787.19x = 312,610,025.61
5. Step 5: Solve for x
   x = 312,610,025.61/11,787.19
6. Step 6: Final answer
   x = 26,521.17