Finding the Third Proportional to 5,110.50 and 8,153.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,110.50 : 8,153.25 = 8,153.25 : x
2. Step 2: Convert to fraction form
   5,110.50/8,153.25 = 8,153.25/x
3. Step 3: Cross multiply
   5,110.50x = 8,153.25 × 8,153.25
4. Step 4: Simplify right side
   5,110.50x = 66,475,485.56
5. Step 5: Solve for x
   x = 66,475,485.56/5,110.50
6. Step 6: Final answer
   x = 13,007.63