Finding the Third Proportional to 35,186 and 76,684

Step by Step Solution

1. Step 1: Write the proportion equation
   35,186 : 76,684 = 76,684 : x
2. Step 2: Convert to fraction form
   35,186/76,684 = 76,684/x
3. Step 3: Cross multiply
   35,186x = 76,684 × 76,684
4. Step 4: Simplify right side
   35,186x = 5,880,435,856
5. Step 5: Solve for x
   x = 5,880,435,856/35,186
6. Step 6: Final answer
   x = 167,124.31