Finding the Third Proportional to 20,440 and 31,564

Step by Step Solution

1. Step 1: Write the proportion equation
   20,440 : 31,564 = 31,564 : x
2. Step 2: Convert to fraction form
   20,440/31,564 = 31,564/x
3. Step 3: Cross multiply
   20,440x = 31,564 × 31,564
4. Step 4: Simplify right side
   20,440x = 996,286,096
5. Step 5: Solve for x
   x = 996,286,096/20,440
6. Step 6: Final answer
   x = 48,741.98