Finding the Third Proportional to 35,006 and 76,816

Step by Step Solution

1. Step 1: Write the proportion equation
   35,006 : 76,816 = 76,816 : x
2. Step 2: Convert to fraction form
   35,006/76,816 = 76,816/x
3. Step 3: Cross multiply
   35,006x = 76,816 × 76,816
4. Step 4: Simplify right side
   35,006x = 5,900,697,856
5. Step 5: Solve for x
   x = 5,900,697,856/35,006
6. Step 6: Final answer
   x = 168,562.47