Finding the Third Proportional to 34,742 and 76,020

Step by Step Solution

1. Step 1: Write the proportion equation
   34,742 : 76,020 = 76,020 : x
2. Step 2: Convert to fraction form
   34,742/76,020 = 76,020/x
3. Step 3: Cross multiply
   34,742x = 76,020 × 76,020
4. Step 4: Simplify right side
   34,742x = 5,779,040,400
5. Step 5: Solve for x
   x = 5,779,040,400/34,742
6. Step 6: Final answer
   x = 166,341.62