Finding the Third Proportional to 9,174 and 19,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,174 : 19,036.50 = 19,036.50 : x
2. Step 2: Convert to fraction form
   9,174/19,036.50 = 19,036.50/x
3. Step 3: Cross multiply
   9,174x = 19,036.50 × 19,036.50
4. Step 4: Simplify right side
   9,174x = 362,388,332.25
5. Step 5: Solve for x
   x = 362,388,332.25/9,174
6. Step 6: Final answer
   x = 39,501.67