Finding the Third Proportional to 7,874 and 17,284.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,874 : 17,284.50 = 17,284.50 : x
2. Step 2: Convert to fraction form
   7,874/17,284.50 = 17,284.50/x
3. Step 3: Cross multiply
   7,874x = 17,284.50 × 17,284.50
4. Step 4: Simplify right side
   7,874x = 298,753,940.25
5. Step 5: Solve for x
   x = 298,753,940.25/7,874
6. Step 6: Final answer
   x = 37,941.83