Finding the Third Proportional to 8,192.81 and 17,580.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192.81 : 17,580.38 = 17,580.38 : x
2. Step 2: Convert to fraction form
   8,192.81/17,580.38 = 17,580.38/x
3. Step 3: Cross multiply
   8,192.81x = 17,580.38 × 17,580.38
4. Step 4: Simplify right side
   8,192.81x = 309,069,585.14
5. Step 5: Solve for x
   x = 309,069,585.14/8,192.81
6. Step 6: Final answer
   x = 37,724.48