Finding the Third Proportional to 42,404 and 57,584

Step by Step Solution

1. Step 1: Write the proportion equation
   42,404 : 57,584 = 57,584 : x
2. Step 2: Convert to fraction form
   42,404/57,584 = 57,584/x
3. Step 3: Cross multiply
   42,404x = 57,584 × 57,584
4. Step 4: Simplify right side
   42,404x = 3,315,917,056
5. Step 5: Solve for x
   x = 3,315,917,056/42,404
6. Step 6: Final answer
   x = 78,198.21