Finding the Third Proportional to 6,048 and 7,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,048 : 7,969.50 = 7,969.50 : x
2. Step 2: Convert to fraction form
   6,048/7,969.50 = 7,969.50/x
3. Step 3: Cross multiply
   6,048x = 7,969.50 × 7,969.50
4. Step 4: Simplify right side
   6,048x = 63,512,930.25
5. Step 5: Solve for x
   x = 63,512,930.25/6,048
6. Step 6: Final answer
   x = 10,501.48