Finding the Third Proportional to 13,857 and 30,408

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857 : 30,408 = 30,408 : x
2. Step 2: Convert to fraction form
   13,857/30,408 = 30,408/x
3. Step 3: Cross multiply
   13,857x = 30,408 × 30,408
4. Step 4: Simplify right side
   13,857x = 924,646,464
5. Step 5: Solve for x
   x = 924,646,464/13,857
6. Step 6: Final answer
   x = 66,727.75