Finding the Third Proportional to 25,744 and 56,222

Step by Step Solution

1. Step 1: Write the proportion equation
   25,744 : 56,222 = 56,222 : x
2. Step 2: Convert to fraction form
   25,744/56,222 = 56,222/x
3. Step 3: Cross multiply
   25,744x = 56,222 × 56,222
4. Step 4: Simplify right side
   25,744x = 3,160,913,284
5. Step 5: Solve for x
   x = 3,160,913,284/25,744
6. Step 6: Final answer
   x = 122,782.52