Finding the Third Proportional to 35,829 and 76,680

Step by Step Solution

1. Step 1: Write the proportion equation
   35,829 : 76,680 = 76,680 : x
2. Step 2: Convert to fraction form
   35,829/76,680 = 76,680/x
3. Step 3: Cross multiply
   35,829x = 76,680 × 76,680
4. Step 4: Simplify right side
   35,829x = 5,879,822,400
5. Step 5: Solve for x
   x = 5,879,822,400/35,829
6. Step 6: Final answer
   x = 164,107.91