Finding the Third Proportional to 13,874 and 31,385

Step by Step Solution

1. Step 1: Write the proportion equation
   13,874 : 31,385 = 31,385 : x
2. Step 2: Convert to fraction form
   13,874/31,385 = 31,385/x
3. Step 3: Cross multiply
   13,874x = 31,385 × 31,385
4. Step 4: Simplify right side
   13,874x = 985,018,225
5. Step 5: Solve for x
   x = 985,018,225/13,874
6. Step 6: Final answer
   x = 70,997.42