Finding the Third Proportional to 25,758 and 55,566

Step by Step Solution

1. Step 1: Write the proportion equation
   25,758 : 55,566 = 55,566 : x
2. Step 2: Convert to fraction form
   25,758/55,566 = 55,566/x
3. Step 3: Cross multiply
   25,758x = 55,566 × 55,566
4. Step 4: Simplify right side
   25,758x = 3,087,580,356
5. Step 5: Solve for x
   x = 3,087,580,356/25,758
6. Step 6: Final answer
   x = 119,868.79