Finding the Third Proportional to 6,498 and 13,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,498 : 13,198.50 = 13,198.50 : x
2. Step 2: Convert to fraction form
   6,498/13,198.50 = 13,198.50/x
3. Step 3: Cross multiply
   6,498x = 13,198.50 × 13,198.50
4. Step 4: Simplify right side
   6,498x = 174,200,402.25
5. Step 5: Solve for x
   x = 174,200,402.25/6,498
6. Step 6: Final answer
   x = 26,808.31