Finding the Third Proportional to 35,516 and 76,856

Step by Step Solution

1. Step 1: Write the proportion equation
   35,516 : 76,856 = 76,856 : x
2. Step 2: Convert to fraction form
   35,516/76,856 = 76,856/x
3. Step 3: Cross multiply
   35,516x = 76,856 × 76,856
4. Step 4: Simplify right side
   35,516x = 5,906,844,736
5. Step 5: Solve for x
   x = 5,906,844,736/35,516
6. Step 6: Final answer
   x = 166,315.03