Finding the Third Proportional to 10,789.88 and 22,865.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,789.88 : 22,865.63 = 22,865.63 : x
2. Step 2: Convert to fraction form
   10,789.88/22,865.63 = 22,865.63/x
3. Step 3: Cross multiply
   10,789.88x = 22,865.63 × 22,865.63
4. Step 4: Simplify right side
   10,789.88x = 522,836,806.64
5. Step 5: Solve for x
   x = 522,836,806.64/10,789.88
6. Step 6: Final answer
   x = 48,456.24