Finding the Third Proportional to 39,742 and 57,468

Step by Step Solution

1. Step 1: Write the proportion equation
   39,742 : 57,468 = 57,468 : x
2. Step 2: Convert to fraction form
   39,742/57,468 = 57,468/x
3. Step 3: Cross multiply
   39,742x = 57,468 × 57,468
4. Step 4: Simplify right side
   39,742x = 3,302,571,024
5. Step 5: Solve for x
   x = 3,302,571,024/39,742
6. Step 6: Final answer
   x = 83,100.27