Finding the Third Proportional to 4,648.50 and 6,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,648.50 : 6,501.50 = 6,501.50 : x
2. Step 2: Convert to fraction form
   4,648.50/6,501.50 = 6,501.50/x
3. Step 3: Cross multiply
   4,648.50x = 6,501.50 × 6,501.50
4. Step 4: Simplify right side
   4,648.50x = 42,269,502.25
5. Step 5: Solve for x
   x = 42,269,502.25/4,648.50
6. Step 6: Final answer
   x = 9,093.15