Finding the Third Proportional to 25,492 and 52,775

Step by Step Solution

1. Step 1: Write the proportion equation
   25,492 : 52,775 = 52,775 : x
2. Step 2: Convert to fraction form
   25,492/52,775 = 52,775/x
3. Step 3: Cross multiply
   25,492x = 52,775 × 52,775
4. Step 4: Simplify right side
   25,492x = 2,785,200,625
5. Step 5: Solve for x
   x = 2,785,200,625/25,492
6. Step 6: Final answer
   x = 109,257.83