Finding the Third Proportional to 25,801 and 52,696

Step by Step Solution

1. Step 1: Write the proportion equation
   25,801 : 52,696 = 52,696 : x
2. Step 2: Convert to fraction form
   25,801/52,696 = 52,696/x
3. Step 3: Cross multiply
   25,801x = 52,696 × 52,696
4. Step 4: Simplify right side
   25,801x = 2,776,868,416
5. Step 5: Solve for x
   x = 2,776,868,416/25,801
6. Step 6: Final answer
   x = 107,626.39