Finding the Third Proportional to 23,681 and 31,593

Step by Step Solution

1. Step 1: Write the proportion equation
   23,681 : 31,593 = 31,593 : x
2. Step 2: Convert to fraction form
   23,681/31,593 = 31,593/x
3. Step 3: Cross multiply
   23,681x = 31,593 × 31,593
4. Step 4: Simplify right side
   23,681x = 998,117,649
5. Step 5: Solve for x
   x = 998,117,649/23,681
6. Step 6: Final answer
   x = 42,148.46