Finding the Third Proportional to 6,501.50 and 12,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,501.50 : 12,678.50 = 12,678.50 : x
2. Step 2: Convert to fraction form
   6,501.50/12,678.50 = 12,678.50/x
3. Step 3: Cross multiply
   6,501.50x = 12,678.50 × 12,678.50
4. Step 4: Simplify right side
   6,501.50x = 160,744,362.25
5. Step 5: Solve for x
   x = 160,744,362.25/6,501.50
6. Step 6: Final answer
   x = 24,724.20