Finding the Third Proportional to 20,386 and 31,507

Step by Step Solution

1. Step 1: Write the proportion equation
   20,386 : 31,507 = 31,507 : x
2. Step 2: Convert to fraction form
   20,386/31,507 = 31,507/x
3. Step 3: Cross multiply
   20,386x = 31,507 × 31,507
4. Step 4: Simplify right side
   20,386x = 992,691,049
5. Step 5: Solve for x
   x = 992,691,049/20,386
6. Step 6: Final answer
   x = 48,694.74