Finding the Third Proportional to 8,189.72 and 17,548.03

Step by Step Solution

1. Step 1: Write the proportion equation
   8,189.72 : 17,548.03 = 17,548.03 : x
2. Step 2: Convert to fraction form
   8,189.72/17,548.03 = 17,548.03/x
3. Step 3: Cross multiply
   8,189.72x = 17,548.03 × 17,548.03
4. Step 4: Simplify right side
   8,189.72x = 307,933,400.75
5. Step 5: Solve for x
   x = 307,933,400.75/8,189.72
6. Step 6: Final answer
   x = 37,600.00