Finding the Third Proportional to 5,193 and 8,054.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,193 : 8,054.25 = 8,054.25 : x
2. Step 2: Convert to fraction form
   5,193/8,054.25 = 8,054.25/x
3. Step 3: Cross multiply
   5,193x = 8,054.25 × 8,054.25
4. Step 4: Simplify right side
   5,193x = 64,870,943.06
5. Step 5: Solve for x
   x = 64,870,943.06/5,193
6. Step 6: Final answer
   x = 12,492.00