Finding the Third Proportional to 35,832 and 76,686

Step by Step Solution

1. Step 1: Write the proportion equation
   35,832 : 76,686 = 76,686 : x
2. Step 2: Convert to fraction form
   35,832/76,686 = 76,686/x
3. Step 3: Cross multiply
   35,832x = 76,686 × 76,686
4. Step 4: Simplify right side
   35,832x = 5,880,742,596
5. Step 5: Solve for x
   x = 5,880,742,596/35,832
6. Step 6: Final answer
   x = 164,119.85