Finding the Third Proportional to 23,823 and 35,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,823 : 35,041.50 = 35,041.50 : x
2. Step 2: Convert to fraction form
   23,823/35,041.50 = 35,041.50/x
3. Step 3: Cross multiply
   23,823x = 35,041.50 × 35,041.50
4. Step 4: Simplify right side
   23,823x = 1,227,906,722.25
5. Step 5: Solve for x
   x = 1,227,906,722.25/23,823
6. Step 6: Final answer
   x = 51,542.91