Finding the Third Proportional to 25,802 and 52,697

Step by Step Solution

1. Step 1: Write the proportion equation
   25,802 : 52,697 = 52,697 : x
2. Step 2: Convert to fraction form
   25,802/52,697 = 52,697/x
3. Step 3: Cross multiply
   25,802x = 52,697 × 52,697
4. Step 4: Simplify right side
   25,802x = 2,776,973,809
5. Step 5: Solve for x
   x = 2,776,973,809/25,802
6. Step 6: Final answer
   x = 107,626.30