Finding the Third Proportional to 3,238 and 5,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,238 : 5,606.50 = 5,606.50 : x
2. Step 2: Convert to fraction form
   3,238/5,606.50 = 5,606.50/x
3. Step 3: Cross multiply
   3,238x = 5,606.50 × 5,606.50
4. Step 4: Simplify right side
   3,238x = 31,432,842.25
5. Step 5: Solve for x
   x = 31,432,842.25/3,238
6. Step 6: Final answer
   x = 9,707.49