Finding the Third Proportional to 23,193 and 32,832

Step by Step Solution

1. Step 1: Write the proportion equation
   23,193 : 32,832 = 32,832 : x
2. Step 2: Convert to fraction form
   23,193/32,832 = 32,832/x
3. Step 3: Cross multiply
   23,193x = 32,832 × 32,832
4. Step 4: Simplify right side
   23,193x = 1,077,940,224
5. Step 5: Solve for x
   x = 1,077,940,224/23,193
6. Step 6: Final answer
   x = 46,476.96