Finding the Third Proportional to 39,190 and 57,142

Step by Step Solution

1. Step 1: Write the proportion equation
   39,190 : 57,142 = 57,142 : x
2. Step 2: Convert to fraction form
   39,190/57,142 = 57,142/x
3. Step 3: Cross multiply
   39,190x = 57,142 × 57,142
4. Step 4: Simplify right side
   39,190x = 3,265,208,164
5. Step 5: Solve for x
   x = 3,265,208,164/39,190
6. Step 6: Final answer
   x = 83,317.38