Finding the Third Proportional to 35,037 and 53,856

Step by Step Solution

1. Step 1: Write the proportion equation
   35,037 : 53,856 = 53,856 : x
2. Step 2: Convert to fraction form
   35,037/53,856 = 53,856/x
3. Step 3: Cross multiply
   35,037x = 53,856 × 53,856
4. Step 4: Simplify right side
   35,037x = 2,900,468,736
5. Step 5: Solve for x
   x = 2,900,468,736/35,037
6. Step 6: Final answer
   x = 82,783.02