Finding the Third Proportional to 5,015.25 and 7,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,015.25 : 7,802.25 = 7,802.25 : x
2. Step 2: Convert to fraction form
   5,015.25/7,802.25 = 7,802.25/x
3. Step 3: Cross multiply
   5,015.25x = 7,802.25 × 7,802.25
4. Step 4: Simplify right side
   5,015.25x = 60,875,105.06
5. Step 5: Solve for x
   x = 60,875,105.06/5,015.25
6. Step 6: Final answer
   x = 12,138.00