Finding the Third Proportional to 20,386 and 31,508

Step by Step Solution

1. Step 1: Write the proportion equation
   20,386 : 31,508 = 31,508 : x
2. Step 2: Convert to fraction form
   20,386/31,508 = 31,508/x
3. Step 3: Cross multiply
   20,386x = 31,508 × 31,508
4. Step 4: Simplify right side
   20,386x = 992,754,064
5. Step 5: Solve for x
   x = 992,754,064/20,386
6. Step 6: Final answer
   x = 48,697.83