Finding the Third Proportional to 7,678.50 and 12,224.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678.50 : 12,224.25 = 12,224.25 : x
2. Step 2: Convert to fraction form
   7,678.50/12,224.25 = 12,224.25/x
3. Step 3: Cross multiply
   7,678.50x = 12,224.25 × 12,224.25
4. Step 4: Simplify right side
   7,678.50x = 149,432,288.06
5. Step 5: Solve for x
   x = 149,432,288.06/7,678.50
6. Step 6: Final answer
   x = 19,461.13