Finding the Third Proportional to 8,199.98 and 17,566.45

Step by Step Solution

1. Step 1: Write the proportion equation
   8,199.98 : 17,566.45 = 17,566.45 : x
2. Step 2: Convert to fraction form
   8,199.98/17,566.45 = 17,566.45/x
3. Step 3: Cross multiply
   8,199.98x = 17,566.45 × 17,566.45
4. Step 4: Simplify right side
   8,199.98x = 308,580,275.39
5. Step 5: Solve for x
   x = 308,580,275.39/8,199.98
6. Step 6: Final answer
   x = 37,631.81