Finding the Third Proportional to 22,082 and 33,788

Step by Step Solution

1. Step 1: Write the proportion equation
   22,082 : 33,788 = 33,788 : x
2. Step 2: Convert to fraction form
   22,082/33,788 = 33,788/x
3. Step 3: Cross multiply
   22,082x = 33,788 × 33,788
4. Step 4: Simplify right side
   22,082x = 1,141,628,944
5. Step 5: Solve for x
   x = 1,141,628,944/22,082
6. Step 6: Final answer
   x = 51,699.53