Finding the Third Proportional to 23,824 and 35,022.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 35,022.75 = 35,022.75 : x
2. Step 2: Convert to fraction form
   23,824/35,022.75 = 35,022.75/x
3. Step 3: Cross multiply
   23,824x = 35,022.75 × 35,022.75
4. Step 4: Simplify right side
   23,824x = 1,226,593,017.56
5. Step 5: Solve for x
   x = 1,226,593,017.56/23,824
6. Step 6: Final answer
   x = 51,485.60