Finding the Third Proportional to 25,788 and 56,271

Step by Step Solution

1. Step 1: Write the proportion equation
   25,788 : 56,271 = 56,271 : x
2. Step 2: Convert to fraction form
   25,788/56,271 = 56,271/x
3. Step 3: Cross multiply
   25,788x = 56,271 × 56,271
4. Step 4: Simplify right side
   25,788x = 3,166,425,441
5. Step 5: Solve for x
   x = 3,166,425,441/25,788
6. Step 6: Final answer
   x = 122,786.78