Finding the Third Proportional to 8,049 and 10,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,049 : 10,372.50 = 10,372.50 : x
2. Step 2: Convert to fraction form
   8,049/10,372.50 = 10,372.50/x
3. Step 3: Cross multiply
   8,049x = 10,372.50 × 10,372.50
4. Step 4: Simplify right side
   8,049x = 107,588,756.25
5. Step 5: Solve for x
   x = 107,588,756.25/8,049
6. Step 6: Final answer
   x = 13,366.72