Finding the Third Proportional to 10,553.63 and 16,571.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,553.63 : 16,571.25 = 16,571.25 : x
2. Step 2: Convert to fraction form
   10,553.63/16,571.25 = 16,571.25/x
3. Step 3: Cross multiply
   10,553.63x = 16,571.25 × 16,571.25
4. Step 4: Simplify right side
   10,553.63x = 274,606,326.56
5. Step 5: Solve for x
   x = 274,606,326.56/10,553.63
6. Step 6: Final answer
   x = 26,020.10