Finding the Third Proportional to 23,833.50 and 51,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,833.50 : 51,589.50 = 51,589.50 : x
2. Step 2: Convert to fraction form
   23,833.50/51,589.50 = 51,589.50/x
3. Step 3: Cross multiply
   23,833.50x = 51,589.50 × 51,589.50
4. Step 4: Simplify right side
   23,833.50x = 2,661,476,510.25
5. Step 5: Solve for x
   x = 2,661,476,510.25/23,833.50
6. Step 6: Final answer
   x = 111,669.56