Finding the Third Proportional to 25,986 and 56,364

Step by Step Solution

1. Step 1: Write the proportion equation
   25,986 : 56,364 = 56,364 : x
2. Step 2: Convert to fraction form
   25,986/56,364 = 56,364/x
3. Step 3: Cross multiply
   25,986x = 56,364 × 56,364
4. Step 4: Simplify right side
   25,986x = 3,176,900,496
5. Step 5: Solve for x
   x = 3,176,900,496/25,986
6. Step 6: Final answer
   x = 122,254.31