Finding the Third Proportional to 42,682 and 57,109

Step by Step Solution

1. Step 1: Write the proportion equation
   42,682 : 57,109 = 57,109 : x
2. Step 2: Convert to fraction form
   42,682/57,109 = 57,109/x
3. Step 3: Cross multiply
   42,682x = 57,109 × 57,109
4. Step 4: Simplify right side
   42,682x = 3,261,437,881
5. Step 5: Solve for x
   x = 3,261,437,881/42,682
6. Step 6: Final answer
   x = 76,412.49