Finding the Third Proportional to 7,519.50 and 10,211.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,519.50 : 10,211.06 = 10,211.06 : x
2. Step 2: Convert to fraction form
   7,519.50/10,211.06 = 10,211.06/x
3. Step 3: Cross multiply
   7,519.50x = 10,211.06 × 10,211.06
4. Step 4: Simplify right side
   7,519.50x = 104,265,797.38
5. Step 5: Solve for x
   x = 104,265,797.38/7,519.50
6. Step 6: Final answer
   x = 13,866.05