Finding the Third Proportional to 35,200 and 51,856

Step by Step Solution

1. Step 1: Write the proportion equation
   35,200 : 51,856 = 51,856 : x
2. Step 2: Convert to fraction form
   35,200/51,856 = 51,856/x
3. Step 3: Cross multiply
   35,200x = 51,856 × 51,856
4. Step 4: Simplify right side
   35,200x = 2,689,044,736
5. Step 5: Solve for x
   x = 2,689,044,736/35,200
6. Step 6: Final answer
   x = 76,393.32