Finding the Third Proportional to 6,498 and 14,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,498 : 14,017.50 = 14,017.50 : x
2. Step 2: Convert to fraction form
   6,498/14,017.50 = 14,017.50/x
3. Step 3: Cross multiply
   6,498x = 14,017.50 × 14,017.50
4. Step 4: Simplify right side
   6,498x = 196,490,306.25
5. Step 5: Solve for x
   x = 196,490,306.25/6,498
6. Step 6: Final answer
   x = 30,238.58