Finding the Third Proportional to 23,533 and 32,983

Step by Step Solution

1. Step 1: Write the proportion equation
   23,533 : 32,983 = 32,983 : x
2. Step 2: Convert to fraction form
   23,533/32,983 = 32,983/x
3. Step 3: Cross multiply
   23,533x = 32,983 × 32,983
4. Step 4: Simplify right side
   23,533x = 1,087,878,289
5. Step 5: Solve for x
   x = 1,087,878,289/23,533
6. Step 6: Final answer
   x = 46,227.78