Finding the Third Proportional to 6,827.50 and 10,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,827.50 : 10,198.50 = 10,198.50 : x
2. Step 2: Convert to fraction form
   6,827.50/10,198.50 = 10,198.50/x
3. Step 3: Cross multiply
   6,827.50x = 10,198.50 × 10,198.50
4. Step 4: Simplify right side
   6,827.50x = 104,009,402.25
5. Step 5: Solve for x
   x = 104,009,402.25/6,827.50
6. Step 6: Final answer
   x = 15,233.89