Finding the Third Proportional to 34,638 and 52,950

Step by Step Solution

1. Step 1: Write the proportion equation
   34,638 : 52,950 = 52,950 : x
2. Step 2: Convert to fraction form
   34,638/52,950 = 52,950/x
3. Step 3: Cross multiply
   34,638x = 52,950 × 52,950
4. Step 4: Simplify right side
   34,638x = 2,803,702,500
5. Step 5: Solve for x
   x = 2,803,702,500/34,638
6. Step 6: Final answer
   x = 80,942.97