Finding the Third Proportional to 23,836 and 35,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,836 : 35,065.50 = 35,065.50 : x
2. Step 2: Convert to fraction form
   23,836/35,065.50 = 35,065.50/x
3. Step 3: Cross multiply
   23,836x = 35,065.50 × 35,065.50
4. Step 4: Simplify right side
   23,836x = 1,229,589,290.25
5. Step 5: Solve for x
   x = 1,229,589,290.25/23,836
6. Step 6: Final answer
   x = 51,585.39