Finding the Third Proportional to 23,800 and 35,768

Step by Step Solution

1. Step 1: Write the proportion equation
   23,800 : 35,768 = 35,768 : x
2. Step 2: Convert to fraction form
   23,800/35,768 = 35,768/x
3. Step 3: Cross multiply
   23,800x = 35,768 × 35,768
4. Step 4: Simplify right side
   23,800x = 1,279,349,824
5. Step 5: Solve for x
   x = 1,279,349,824/23,800
6. Step 6: Final answer
   x = 53,754.19