Finding the Third Proportional to 34,416 and 52,096

Step by Step Solution

1. Step 1: Write the proportion equation
   34,416 : 52,096 = 52,096 : x
2. Step 2: Convert to fraction form
   34,416/52,096 = 52,096/x
3. Step 3: Cross multiply
   34,416x = 52,096 × 52,096
4. Step 4: Simplify right side
   34,416x = 2,713,993,216
5. Step 5: Solve for x
   x = 2,713,993,216/34,416
6. Step 6: Final answer
   x = 78,858.47