Finding the Third Proportional to 34,576 and 52,856

Step by Step Solution

1. Step 1: Write the proportion equation
   34,576 : 52,856 = 52,856 : x
2. Step 2: Convert to fraction form
   34,576/52,856 = 52,856/x
3. Step 3: Cross multiply
   34,576x = 52,856 × 52,856
4. Step 4: Simplify right side
   34,576x = 2,793,756,736
5. Step 5: Solve for x
   x = 2,793,756,736/34,576
6. Step 6: Final answer
   x = 80,800.46