Finding the Third Proportional to 8,199.56 and 17,740.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,199.56 : 17,740.69 = 17,740.69 : x
2. Step 2: Convert to fraction form
   8,199.56/17,740.69 = 17,740.69/x
3. Step 3: Cross multiply
   8,199.56x = 17,740.69 × 17,740.69
4. Step 4: Simplify right side
   8,199.56x = 314,731,992.97
5. Step 5: Solve for x
   x = 314,731,992.97/8,199.56
6. Step 6: Final answer
   x = 38,384.00