Finding the Third Proportional to 20,434 and 31,380

Step by Step Solution

1. Step 1: Write the proportion equation
   20,434 : 31,380 = 31,380 : x
2. Step 2: Convert to fraction form
   20,434/31,380 = 31,380/x
3. Step 3: Cross multiply
   20,434x = 31,380 × 31,380
4. Step 4: Simplify right side
   20,434x = 984,704,400
5. Step 5: Solve for x
   x = 984,704,400/20,434
6. Step 6: Final answer
   x = 48,189.51