Finding the Third Proportional to 25,845 and 52,786

Step by Step Solution

1. Step 1: Write the proportion equation
   25,845 : 52,786 = 52,786 : x
2. Step 2: Convert to fraction form
   25,845/52,786 = 52,786/x
3. Step 3: Cross multiply
   25,845x = 52,786 × 52,786
4. Step 4: Simplify right side
   25,845x = 2,786,361,796
5. Step 5: Solve for x
   x = 2,786,361,796/25,845
6. Step 6: Final answer
   x = 107,810.48