Finding the Third Proportional to 42,450 and 57,446

Step by Step Solution

1. Step 1: Write the proportion equation
   42,450 : 57,446 = 57,446 : x
2. Step 2: Convert to fraction form
   42,450/57,446 = 57,446/x
3. Step 3: Cross multiply
   42,450x = 57,446 × 57,446
4. Step 4: Simplify right side
   42,450x = 3,300,042,916
5. Step 5: Solve for x
   x = 3,300,042,916/42,450
6. Step 6: Final answer
   x = 77,739.53