Finding the Third Proportional to 11,874 and 17,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,874 : 17,833.50 = 17,833.50 : x
2. Step 2: Convert to fraction form
   11,874/17,833.50 = 17,833.50/x
3. Step 3: Cross multiply
   11,874x = 17,833.50 × 17,833.50
4. Step 4: Simplify right side
   11,874x = 318,033,722.25
5. Step 5: Solve for x
   x = 318,033,722.25/11,874
6. Step 6: Final answer
   x = 26,784.04