Finding the Third Proportional to 6,323.25 and 13,856.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,323.25 : 13,856.25 = 13,856.25 : x
2. Step 2: Convert to fraction form
   6,323.25/13,856.25 = 13,856.25/x
3. Step 3: Cross multiply
   6,323.25x = 13,856.25 × 13,856.25
4. Step 4: Simplify right side
   6,323.25x = 191,995,664.06
5. Step 5: Solve for x
   x = 191,995,664.06/6,323.25
6. Step 6: Final answer
   x = 30,363.45