Finding the Third Proportional to 10,872 and 25,182

Step by Step Solution

1. Step 1: Write the proportion equation
   10,872 : 25,182 = 25,182 : x
2. Step 2: Convert to fraction form
   10,872/25,182 = 25,182/x
3. Step 3: Cross multiply
   10,872x = 25,182 × 25,182
4. Step 4: Simplify right side
   10,872x = 634,133,124
5. Step 5: Solve for x
   x = 634,133,124/10,872
6. Step 6: Final answer
   x = 58,327.18