Finding the Third Proportional to 20,114 and 31,384

Step by Step Solution

1. Step 1: Write the proportion equation
   20,114 : 31,384 = 31,384 : x
2. Step 2: Convert to fraction form
   20,114/31,384 = 31,384/x
3. Step 3: Cross multiply
   20,114x = 31,384 × 31,384
4. Step 4: Simplify right side
   20,114x = 984,955,456
5. Step 5: Solve for x
   x = 984,955,456/20,114
6. Step 6: Final answer
   x = 48,968.65