Finding the Third Proportional to 10,823.50 and 16,352.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823.50 : 16,352.25 = 16,352.25 : x
2. Step 2: Convert to fraction form
   10,823.50/16,352.25 = 16,352.25/x
3. Step 3: Cross multiply
   10,823.50x = 16,352.25 × 16,352.25
4. Step 4: Simplify right side
   10,823.50x = 267,396,080.06
5. Step 5: Solve for x
   x = 267,396,080.06/10,823.50
6. Step 6: Final answer
   x = 24,705.14