Finding the Third Proportional to 25,566 and 55,868.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,566 : 55,868.25 = 55,868.25 : x
2. Step 2: Convert to fraction form
   25,566/55,868.25 = 55,868.25/x
3. Step 3: Cross multiply
   25,566x = 55,868.25 × 55,868.25
4. Step 4: Simplify right side
   25,566x = 3,121,261,358.06
5. Step 5: Solve for x
   x = 3,121,261,358.06/25,566
6. Step 6: Final answer
   x = 122,086.42