Finding the Third Proportional to 14,138 and 30,714

Step by Step Solution

1. Step 1: Write the proportion equation
   14,138 : 30,714 = 30,714 : x
2. Step 2: Convert to fraction form
   14,138/30,714 = 30,714/x
3. Step 3: Cross multiply
   14,138x = 30,714 × 30,714
4. Step 4: Simplify right side
   14,138x = 943,349,796
5. Step 5: Solve for x
   x = 943,349,796/14,138
6. Step 6: Final answer
   x = 66,724.42