Finding the Third Proportional to 40,340 and 56,424

Step by Step Solution

1. Step 1: Write the proportion equation
   40,340 : 56,424 = 56,424 : x
2. Step 2: Convert to fraction form
   40,340/56,424 = 56,424/x
3. Step 3: Cross multiply
   40,340x = 56,424 × 56,424
4. Step 4: Simplify right side
   40,340x = 3,183,667,776
5. Step 5: Solve for x
   x = 3,183,667,776/40,340
6. Step 6: Final answer
   x = 78,920.87