Finding the Third Proportional to 23,823.50 and 35,022

Step by Step Solution

1. Step 1: Write the proportion equation
   23,823.50 : 35,022 = 35,022 : x
2. Step 2: Convert to fraction form
   23,823.50/35,022 = 35,022/x
3. Step 3: Cross multiply
   23,823.50x = 35,022 × 35,022
4. Step 4: Simplify right side
   23,823.50x = 1,226,540,484
5. Step 5: Solve for x
   x = 1,226,540,484/23,823.50
6. Step 6: Final answer
   x = 51,484.48