Finding the Third Proportional to 42,684 and 57,108

Step by Step Solution

1. Step 1: Write the proportion equation
   42,684 : 57,108 = 57,108 : x
2. Step 2: Convert to fraction form
   42,684/57,108 = 57,108/x
3. Step 3: Cross multiply
   42,684x = 57,108 × 57,108
4. Step 4: Simplify right side
   42,684x = 3,261,323,664
5. Step 5: Solve for x
   x = 3,261,323,664/42,684
6. Step 6: Final answer
   x = 76,406.23