Finding the Third Proportional to 42,389 and 57,567

Step by Step Solution

1. Step 1: Write the proportion equation
   42,389 : 57,567 = 57,567 : x
2. Step 2: Convert to fraction form
   42,389/57,567 = 57,567/x
3. Step 3: Cross multiply
   42,389x = 57,567 × 57,567
4. Step 4: Simplify right side
   42,389x = 3,313,959,489
5. Step 5: Solve for x
   x = 3,313,959,489/42,389
6. Step 6: Final answer
   x = 78,179.70