Finding the Third Proportional to 10,782 and 16,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782 : 16,570.50 = 16,570.50 : x
2. Step 2: Convert to fraction form
   10,782/16,570.50 = 16,570.50/x
3. Step 3: Cross multiply
   10,782x = 16,570.50 × 16,570.50
4. Step 4: Simplify right side
   10,782x = 274,581,470.25
5. Step 5: Solve for x
   x = 274,581,470.25/10,782
6. Step 6: Final answer
   x = 25,466.65