Finding the Third Proportional to 10,828.21 and 16,325.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828.21 : 16,325.61 = 16,325.61 : x
2. Step 2: Convert to fraction form
   10,828.21/16,325.61 = 16,325.61/x
3. Step 3: Cross multiply
   10,828.21x = 16,325.61 × 16,325.61
4. Step 4: Simplify right side
   10,828.21x = 266,525,649.01
5. Step 5: Solve for x
   x = 266,525,649.01/10,828.21
6. Step 6: Final answer
   x = 24,614.00