Finding the Third Proportional to 42,670 and 57,441

Step by Step Solution

1. Step 1: Write the proportion equation
   42,670 : 57,441 = 57,441 : x
2. Step 2: Convert to fraction form
   42,670/57,441 = 57,441/x
3. Step 3: Cross multiply
   42,670x = 57,441 × 57,441
4. Step 4: Simplify right side
   42,670x = 3,299,468,481
5. Step 5: Solve for x
   x = 3,299,468,481/42,670
6. Step 6: Final answer
   x = 77,325.25