Finding the Third Proportional to 23,510 and 32,238

Step by Step Solution

1. Step 1: Write the proportion equation
   23,510 : 32,238 = 32,238 : x
2. Step 2: Convert to fraction form
   23,510/32,238 = 32,238/x
3. Step 3: Cross multiply
   23,510x = 32,238 × 32,238
4. Step 4: Simplify right side
   23,510x = 1,039,288,644
5. Step 5: Solve for x
   x = 1,039,288,644/23,510
6. Step 6: Final answer
   x = 44,206.24