Finding the Third Proportional to 20,740 and 31,038

Step by Step Solution

1. Step 1: Write the proportion equation
   20,740 : 31,038 = 31,038 : x
2. Step 2: Convert to fraction form
   20,740/31,038 = 31,038/x
3. Step 3: Cross multiply
   20,740x = 31,038 × 31,038
4. Step 4: Simplify right side
   20,740x = 963,357,444
5. Step 5: Solve for x
   x = 963,357,444/20,740
6. Step 6: Final answer
   x = 46,449.25