Finding the Third Proportional to 10,471.78 and 12,772.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,471.78 : 12,772.69 = 12,772.69 : x
2. Step 2: Convert to fraction form
   10,471.78/12,772.69 = 12,772.69/x
3. Step 3: Cross multiply
   10,471.78x = 12,772.69 × 12,772.69
4. Step 4: Simplify right side
   10,471.78x = 163,141,545.97
5. Step 5: Solve for x
   x = 163,141,545.97/10,471.78
6. Step 6: Final answer
   x = 15,579.16