Finding the Third Proportional to 23,204 and 35,350

Step by Step Solution

1. Step 1: Write the proportion equation
   23,204 : 35,350 = 35,350 : x
2. Step 2: Convert to fraction form
   23,204/35,350 = 35,350/x
3. Step 3: Cross multiply
   23,204x = 35,350 × 35,350
4. Step 4: Simplify right side
   23,204x = 1,249,622,500
5. Step 5: Solve for x
   x = 1,249,622,500/23,204
6. Step 6: Final answer
   x = 53,853.75