Finding the Third Proportional to 5,224.50 and 7,662.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,224.50 : 7,662.09 = 7,662.09 : x
2. Step 2: Convert to fraction form
   5,224.50/7,662.09 = 7,662.09/x
3. Step 3: Cross multiply
   5,224.50x = 7,662.09 × 7,662.09
4. Step 4: Simplify right side
   5,224.50x = 58,707,680.63
5. Step 5: Solve for x
   x = 58,707,680.63/5,224.50
6. Step 6: Final answer
   x = 11,237.00