Finding the Third Proportional to 42,382 and 57,559

Step by Step Solution

1. Step 1: Write the proportion equation
   42,382 : 57,559 = 57,559 : x
2. Step 2: Convert to fraction form
   42,382/57,559 = 57,559/x
3. Step 3: Cross multiply
   42,382x = 57,559 × 57,559
4. Step 4: Simplify right side
   42,382x = 3,313,038,481
5. Step 5: Solve for x
   x = 3,313,038,481/42,382
6. Step 6: Final answer
   x = 78,170.89