Finding the Third Proportional to 25,714 and 52,142

Step by Step Solution

1. Step 1: Write the proportion equation
   25,714 : 52,142 = 52,142 : x
2. Step 2: Convert to fraction form
   25,714/52,142 = 52,142/x
3. Step 3: Cross multiply
   25,714x = 52,142 × 52,142
4. Step 4: Simplify right side
   25,714x = 2,718,788,164
5. Step 5: Solve for x
   x = 2,718,788,164/25,714
6. Step 6: Final answer
   x = 105,731.83