Finding the Third Proportional to 4,969.50 and 8,048.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,969.50 : 8,048.25 = 8,048.25 : x
2. Step 2: Convert to fraction form
   4,969.50/8,048.25 = 8,048.25/x
3. Step 3: Cross multiply
   4,969.50x = 8,048.25 × 8,048.25
4. Step 4: Simplify right side
   4,969.50x = 64,774,328.06
5. Step 5: Solve for x
   x = 64,774,328.06/4,969.50
6. Step 6: Final answer
   x = 13,034.38