Finding the Third Proportional to 9,382.50 and 19,982.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,382.50 : 19,982.25 = 19,982.25 : x
2. Step 2: Convert to fraction form
   9,382.50/19,982.25 = 19,982.25/x
3. Step 3: Cross multiply
   9,382.50x = 19,982.25 × 19,982.25
4. Step 4: Simplify right side
   9,382.50x = 399,290,315.06
5. Step 5: Solve for x
   x = 399,290,315.06/9,382.50
6. Step 6: Final answer
   x = 42,556.92