Finding the Third Proportional to 20,782 and 31,392

Step by Step Solution

1. Step 1: Write the proportion equation
   20,782 : 31,392 = 31,392 : x
2. Step 2: Convert to fraction form
   20,782/31,392 = 31,392/x
3. Step 3: Cross multiply
   20,782x = 31,392 × 31,392
4. Step 4: Simplify right side
   20,782x = 985,457,664
5. Step 5: Solve for x
   x = 985,457,664/20,782
6. Step 6: Final answer
   x = 47,418.81