Finding the Third Proportional to 13,876 and 30,342

Step by Step Solution

1. Step 1: Write the proportion equation
   13,876 : 30,342 = 30,342 : x
2. Step 2: Convert to fraction form
   13,876/30,342 = 30,342/x
3. Step 3: Cross multiply
   13,876x = 30,342 × 30,342
4. Step 4: Simplify right side
   13,876x = 920,636,964
5. Step 5: Solve for x
   x = 920,636,964/13,876
6. Step 6: Final answer
   x = 66,347.43