Finding the Third Proportional to 10,782 and 22,860

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782 : 22,860 = 22,860 : x
2. Step 2: Convert to fraction form
   10,782/22,860 = 22,860/x
3. Step 3: Cross multiply
   10,782x = 22,860 × 22,860
4. Step 4: Simplify right side
   10,782x = 522,579,600
5. Step 5: Solve for x
   x = 522,579,600/10,782
6. Step 6: Final answer
   x = 48,467.78