Finding the Third Proportional to 42,444 and 57,438

Step by Step Solution

1. Step 1: Write the proportion equation
   42,444 : 57,438 = 57,438 : x
2. Step 2: Convert to fraction form
   42,444/57,438 = 57,438/x
3. Step 3: Cross multiply
   42,444x = 57,438 × 57,438
4. Step 4: Simplify right side
   42,444x = 3,299,123,844
5. Step 5: Solve for x
   x = 3,299,123,844/42,444
6. Step 6: Final answer
   x = 77,728.86