Finding the Third Proportional to 23,510 and 35,697

Step by Step Solution

1. Step 1: Write the proportion equation
   23,510 : 35,697 = 35,697 : x
2. Step 2: Convert to fraction form
   23,510/35,697 = 35,697/x
3. Step 3: Cross multiply
   23,510x = 35,697 × 35,697
4. Step 4: Simplify right side
   23,510x = 1,274,275,809
5. Step 5: Solve for x
   x = 1,274,275,809/23,510
6. Step 6: Final answer
   x = 54,201.44