Finding the Third Proportional to 13,874 and 30,340

Step by Step Solution

1. Step 1: Write the proportion equation
   13,874 : 30,340 = 30,340 : x
2. Step 2: Convert to fraction form
   13,874/30,340 = 30,340/x
3. Step 3: Cross multiply
   13,874x = 30,340 × 30,340
4. Step 4: Simplify right side
   13,874x = 920,515,600
5. Step 5: Solve for x
   x = 920,515,600/13,874
6. Step 6: Final answer
   x = 66,348.25