Finding the Third Proportional to 6,288.50 and 9,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,288.50 : 9,448.50 = 9,448.50 : x
2. Step 2: Convert to fraction form
   6,288.50/9,448.50 = 9,448.50/x
3. Step 3: Cross multiply
   6,288.50x = 9,448.50 × 9,448.50
4. Step 4: Simplify right side
   6,288.50x = 89,274,152.25
5. Step 5: Solve for x
   x = 89,274,152.25/6,288.50
6. Step 6: Final answer
   x = 14,196.41