Finding the Third Proportional to 25,788 and 56,274

Step by Step Solution

1. Step 1: Write the proportion equation
   25,788 : 56,274 = 56,274 : x
2. Step 2: Convert to fraction form
   25,788/56,274 = 56,274/x
3. Step 3: Cross multiply
   25,788x = 56,274 × 56,274
4. Step 4: Simplify right side
   25,788x = 3,166,763,076
5. Step 5: Solve for x
   x = 3,166,763,076/25,788
6. Step 6: Final answer
   x = 122,799.87