Finding the Third Proportional to 25,486 and 52,105

Step by Step Solution

1. Step 1: Write the proportion equation
   25,486 : 52,105 = 52,105 : x
2. Step 2: Convert to fraction form
   25,486/52,105 = 52,105/x
3. Step 3: Cross multiply
   25,486x = 52,105 × 52,105
4. Step 4: Simplify right side
   25,486x = 2,714,931,025
5. Step 5: Solve for x
   x = 2,714,931,025/25,486
6. Step 6: Final answer
   x = 106,526.37