Finding the Third Proportional to 23,816 and 35,580

Step by Step Solution

1. Step 1: Write the proportion equation
   23,816 : 35,580 = 35,580 : x
2. Step 2: Convert to fraction form
   23,816/35,580 = 35,580/x
3. Step 3: Cross multiply
   23,816x = 35,580 × 35,580
4. Step 4: Simplify right side
   23,816x = 1,265,936,400
5. Step 5: Solve for x
   x = 1,265,936,400/23,816
6. Step 6: Final answer
   x = 53,154.87