Finding the Third Proportional to 23,072 and 32,993

Step by Step Solution

1. Step 1: Write the proportion equation
   23,072 : 32,993 = 32,993 : x
2. Step 2: Convert to fraction form
   23,072/32,993 = 32,993/x
3. Step 3: Cross multiply
   23,072x = 32,993 × 32,993
4. Step 4: Simplify right side
   23,072x = 1,088,538,049
5. Step 5: Solve for x
   x = 1,088,538,049/23,072
6. Step 6: Final answer
   x = 47,180.05