Finding the Third Proportional to 8,113.50 and 10,334.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,113.50 : 10,334.25 = 10,334.25 : x
2. Step 2: Convert to fraction form
   8,113.50/10,334.25 = 10,334.25/x
3. Step 3: Cross multiply
   8,113.50x = 10,334.25 × 10,334.25
4. Step 4: Simplify right side
   8,113.50x = 106,796,723.06
5. Step 5: Solve for x
   x = 106,796,723.06/8,113.50
6. Step 6: Final answer
   x = 13,162.84