Finding the Third Proportional to 20,478 and 31,024

Step by Step Solution

1. Step 1: Write the proportion equation
   20,478 : 31,024 = 31,024 : x
2. Step 2: Convert to fraction form
   20,478/31,024 = 31,024/x
3. Step 3: Cross multiply
   20,478x = 31,024 × 31,024
4. Step 4: Simplify right side
   20,478x = 962,488,576
5. Step 5: Solve for x
   x = 962,488,576/20,478
6. Step 6: Final answer
   x = 47,001.10