Finding the Third Proportional to 25,736 and 56,206

Step by Step Solution

1. Step 1: Write the proportion equation
   25,736 : 56,206 = 56,206 : x
2. Step 2: Convert to fraction form
   25,736/56,206 = 56,206/x
3. Step 3: Cross multiply
   25,736x = 56,206 × 56,206
4. Step 4: Simplify right side
   25,736x = 3,159,114,436
5. Step 5: Solve for x
   x = 3,159,114,436/25,736
6. Step 6: Final answer
   x = 122,750.79