Finding the Third Proportional to 6,569.25 and 10,046.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,569.25 : 10,046.25 = 10,046.25 : x
2. Step 2: Convert to fraction form
   6,569.25/10,046.25 = 10,046.25/x
3. Step 3: Cross multiply
   6,569.25x = 10,046.25 × 10,046.25
4. Step 4: Simplify right side
   6,569.25x = 100,927,139.06
5. Step 5: Solve for x
   x = 100,927,139.06/6,569.25
6. Step 6: Final answer
   x = 15,363.57