Finding the Third Proportional to 23,022 and 35,199

Step by Step Solution

1. Step 1: Write the proportion equation
   23,022 : 35,199 = 35,199 : x
2. Step 2: Convert to fraction form
   23,022/35,199 = 35,199/x
3. Step 3: Cross multiply
   23,022x = 35,199 × 35,199
4. Step 4: Simplify right side
   23,022x = 1,238,969,601
5. Step 5: Solve for x
   x = 1,238,969,601/23,022
6. Step 6: Final answer
   x = 53,816.77