Finding the Third Proportional to 13,877 and 30,217

Step by Step Solution

1. Step 1: Write the proportion equation
   13,877 : 30,217 = 30,217 : x
2. Step 2: Convert to fraction form
   13,877/30,217 = 30,217/x
3. Step 3: Cross multiply
   13,877x = 30,217 × 30,217
4. Step 4: Simplify right side
   13,877x = 913,067,089
5. Step 5: Solve for x
   x = 913,067,089/13,877
6. Step 6: Final answer
   x = 65,797.15