Finding the Third Proportional to 10,872.28 and 16,799.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,872.28 : 16,799.63 = 16,799.63 : x
2. Step 2: Convert to fraction form
   10,872.28/16,799.63 = 16,799.63/x
3. Step 3: Cross multiply
   10,872.28x = 16,799.63 × 16,799.63
4. Step 4: Simplify right side
   10,872.28x = 282,227,400.14
5. Step 5: Solve for x
   x = 282,227,400.14/10,872.28
6. Step 6: Final answer
   x = 25,958.43