Finding the Third Proportional to 23,072 and 33,788

Step by Step Solution

1. Step 1: Write the proportion equation
   23,072 : 33,788 = 33,788 : x
2. Step 2: Convert to fraction form
   23,072/33,788 = 33,788/x
3. Step 3: Cross multiply
   23,072x = 33,788 × 33,788
4. Step 4: Simplify right side
   23,072x = 1,141,628,944
5. Step 5: Solve for x
   x = 1,141,628,944/23,072
6. Step 6: Final answer
   x = 49,481.14