Finding the Third Proportional to 8,000.49 and 17,538.71

Step by Step Solution

1. Step 1: Write the proportion equation
   8,000.49 : 17,538.71 = 17,538.71 : x
2. Step 2: Convert to fraction form
   8,000.49/17,538.71 = 17,538.71/x
3. Step 3: Cross multiply
   8,000.49x = 17,538.71 × 17,538.71
4. Step 4: Simplify right side
   8,000.49x = 307,606,518.37
5. Step 5: Solve for x
   x = 307,606,518.37/8,000.49
6. Step 6: Final answer
   x = 38,448.46