Finding the Third Proportional to 25,736 and 55,666

Step by Step Solution

1. Step 1: Write the proportion equation
   25,736 : 55,666 = 55,666 : x
2. Step 2: Convert to fraction form
   25,736/55,666 = 55,666/x
3. Step 3: Cross multiply
   25,736x = 55,666 × 55,666
4. Step 4: Simplify right side
   25,736x = 3,098,703,556
5. Step 5: Solve for x
   x = 3,098,703,556/25,736
6. Step 6: Final answer
   x = 120,403.46