Finding the Third Proportional to 20,033 and 31,142

Step by Step Solution

1. Step 1: Write the proportion equation
   20,033 : 31,142 = 31,142 : x
2. Step 2: Convert to fraction form
   20,033/31,142 = 31,142/x
3. Step 3: Cross multiply
   20,033x = 31,142 × 31,142
4. Step 4: Simplify right side
   20,033x = 969,824,164
5. Step 5: Solve for x
   x = 969,824,164/20,033
6. Step 6: Final answer
   x = 48,411.33