Finding the Third Proportional to 7,892.25 and 17,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,892.25 : 17,424.50 = 17,424.50 : x
2. Step 2: Convert to fraction form
   7,892.25/17,424.50 = 17,424.50/x
3. Step 3: Cross multiply
   7,892.25x = 17,424.50 × 17,424.50
4. Step 4: Simplify right side
   7,892.25x = 303,613,200.25
5. Step 5: Solve for x
   x = 303,613,200.25/7,892.25
6. Step 6: Final answer
   x = 38,469.79