Finding the Third Proportional to 42,670 and 57,442

Step by Step Solution

1. Step 1: Write the proportion equation
   42,670 : 57,442 = 57,442 : x
2. Step 2: Convert to fraction form
   42,670/57,442 = 57,442/x
3. Step 3: Cross multiply
   42,670x = 57,442 × 57,442
4. Step 4: Simplify right side
   42,670x = 3,299,583,364
5. Step 5: Solve for x
   x = 3,299,583,364/42,670
6. Step 6: Final answer
   x = 77,327.94