Finding the Third Proportional to 38,676 and 57,870

Step by Step Solution

1. Step 1: Write the proportion equation
   38,676 : 57,870 = 57,870 : x
2. Step 2: Convert to fraction form
   38,676/57,870 = 57,870/x
3. Step 3: Cross multiply
   38,676x = 57,870 × 57,870
4. Step 4: Simplify right side
   38,676x = 3,348,936,900
5. Step 5: Solve for x
   x = 3,348,936,900/38,676
6. Step 6: Final answer
   x = 86,589.54