Finding the Third Proportional to 10,522.13 and 16,287.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.13 : 16,287.75 = 16,287.75 : x
2. Step 2: Convert to fraction form
   10,522.13/16,287.75 = 16,287.75/x
3. Step 3: Cross multiply
   10,522.13x = 16,287.75 × 16,287.75
4. Step 4: Simplify right side
   10,522.13x = 265,290,800.06
5. Step 5: Solve for x
   x = 265,290,800.06/10,522.13
6. Step 6: Final answer
   x = 25,212.66