Finding the Third Proportional to 25,748 and 56,424

Step by Step Solution

1. Step 1: Write the proportion equation
   25,748 : 56,424 = 56,424 : x
2. Step 2: Convert to fraction form
   25,748/56,424 = 56,424/x
3. Step 3: Cross multiply
   25,748x = 56,424 × 56,424
4. Step 4: Simplify right side
   25,748x = 3,183,667,776
5. Step 5: Solve for x
   x = 3,183,667,776/25,748
6. Step 6: Final answer
   x = 123,647.19