Finding the Third Proportional to 23,772 and 33,798

Step by Step Solution

1. Step 1: Write the proportion equation
   23,772 : 33,798 = 33,798 : x
2. Step 2: Convert to fraction form
   23,772/33,798 = 33,798/x
3. Step 3: Cross multiply
   23,772x = 33,798 × 33,798
4. Step 4: Simplify right side
   23,772x = 1,142,304,804
5. Step 5: Solve for x
   x = 1,142,304,804/23,772
6. Step 6: Final answer
   x = 48,052.53