Finding the Third Proportional to 10,782.50 and 16,356

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782.50 : 16,356 = 16,356 : x
2. Step 2: Convert to fraction form
   10,782.50/16,356 = 16,356/x
3. Step 3: Cross multiply
   10,782.50x = 16,356 × 16,356
4. Step 4: Simplify right side
   10,782.50x = 267,518,736
5. Step 5: Solve for x
   x = 267,518,736/10,782.50
6. Step 6: Final answer
   x = 24,810.46