Finding the Third Proportional to 25,801 and 56,523

Step by Step Solution

1. Step 1: Write the proportion equation
   25,801 : 56,523 = 56,523 : x
2. Step 2: Convert to fraction form
   25,801/56,523 = 56,523/x
3. Step 3: Cross multiply
   25,801x = 56,523 × 56,523
4. Step 4: Simplify right side
   25,801x = 3,194,849,529
5. Step 5: Solve for x
   x = 3,194,849,529/25,801
6. Step 6: Final answer
   x = 123,826.58