Finding the Third Proportional to 9,139.50 and 19,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,139.50 : 19,667.25 = 19,667.25 : x
2. Step 2: Convert to fraction form
   9,139.50/19,667.25 = 19,667.25/x
3. Step 3: Cross multiply
   9,139.50x = 19,667.25 × 19,667.25
4. Step 4: Simplify right side
   9,139.50x = 386,800,722.56
5. Step 5: Solve for x
   x = 386,800,722.56/9,139.50
6. Step 6: Final answer
   x = 42,321.87