Finding the Third Proportional to 10,782 and 16,659

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782 : 16,659 = 16,659 : x
2. Step 2: Convert to fraction form
   10,782/16,659 = 16,659/x
3. Step 3: Cross multiply
   10,782x = 16,659 × 16,659
4. Step 4: Simplify right side
   10,782x = 277,522,281
5. Step 5: Solve for x
   x = 277,522,281/10,782
6. Step 6: Final answer
   x = 25,739.41