Finding the Third Proportional to 25,662 and 52,596

Step by Step Solution

1. Step 1: Write the proportion equation
   25,662 : 52,596 = 52,596 : x
2. Step 2: Convert to fraction form
   25,662/52,596 = 52,596/x
3. Step 3: Cross multiply
   25,662x = 52,596 × 52,596
4. Step 4: Simplify right side
   25,662x = 2,766,339,216
5. Step 5: Solve for x
   x = 2,766,339,216/25,662
6. Step 6: Final answer
   x = 107,799.05