Finding the Third Proportional to 23,682 and 35,360

Step by Step Solution

1. Step 1: Write the proportion equation
   23,682 : 35,360 = 35,360 : x
2. Step 2: Convert to fraction form
   23,682/35,360 = 35,360/x
3. Step 3: Cross multiply
   23,682x = 35,360 × 35,360
4. Step 4: Simplify right side
   23,682x = 1,250,329,600
5. Step 5: Solve for x
   x = 1,250,329,600/23,682
6. Step 6: Final answer
   x = 52,796.62