Finding the Third Proportional to 10,099.69 and 13,709.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.69 : 13,709.25 = 13,709.25 : x
2. Step 2: Convert to fraction form
   10,099.69/13,709.25 = 13,709.25/x
3. Step 3: Cross multiply
   10,099.69x = 13,709.25 × 13,709.25
4. Step 4: Simplify right side
   10,099.69x = 187,943,535.56
5. Step 5: Solve for x
   x = 187,943,535.56/10,099.69
6. Step 6: Final answer
   x = 18,608.85