Finding the Third Proportional to 35,636 and 76,216

Step by Step Solution

1. Step 1: Write the proportion equation
   35,636 : 76,216 = 76,216 : x
2. Step 2: Convert to fraction form
   35,636/76,216 = 76,216/x
3. Step 3: Cross multiply
   35,636x = 76,216 × 76,216
4. Step 4: Simplify right side
   35,636x = 5,808,878,656
5. Step 5: Solve for x
   x = 5,808,878,656/35,636
6. Step 6: Final answer
   x = 163,005.91