Finding the Third Proportional to 25,166 and 52,374

Step by Step Solution

1. Step 1: Write the proportion equation
   25,166 : 52,374 = 52,374 : x
2. Step 2: Convert to fraction form
   25,166/52,374 = 52,374/x
3. Step 3: Cross multiply
   25,166x = 52,374 × 52,374
4. Step 4: Simplify right side
   25,166x = 2,743,035,876
5. Step 5: Solve for x
   x = 2,743,035,876/25,166
6. Step 6: Final answer
   x = 108,997.69