Finding the Third Proportional to 34,118 and 51,707

Step by Step Solution

1. Step 1: Write the proportion equation
   34,118 : 51,707 = 51,707 : x
2. Step 2: Convert to fraction form
   34,118/51,707 = 51,707/x
3. Step 3: Cross multiply
   34,118x = 51,707 × 51,707
4. Step 4: Simplify right side
   34,118x = 2,673,613,849
5. Step 5: Solve for x
   x = 2,673,613,849/34,118
6. Step 6: Final answer
   x = 78,363.73