Finding the Third Proportional to 20,494 and 31,038

Step by Step Solution

1. Step 1: Write the proportion equation
   20,494 : 31,038 = 31,038 : x
2. Step 2: Convert to fraction form
   20,494/31,038 = 31,038/x
3. Step 3: Cross multiply
   20,494x = 31,038 × 31,038
4. Step 4: Simplify right side
   20,494x = 963,357,444
5. Step 5: Solve for x
   x = 963,357,444/20,494
6. Step 6: Final answer
   x = 47,006.80