Finding the Third Proportional to 9,009.75 and 13,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,009.75 : 13,675.50 = 13,675.50 : x
2. Step 2: Convert to fraction form
   9,009.75/13,675.50 = 13,675.50/x
3. Step 3: Cross multiply
   9,009.75x = 13,675.50 × 13,675.50
4. Step 4: Simplify right side
   9,009.75x = 187,019,300.25
5. Step 5: Solve for x
   x = 187,019,300.25/9,009.75
6. Step 6: Final answer
   x = 20,757.44