Finding the Third Proportional to 9,380.25 and 13,709.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.25 : 13,709.25 = 13,709.25 : x
2. Step 2: Convert to fraction form
   9,380.25/13,709.25 = 13,709.25/x
3. Step 3: Cross multiply
   9,380.25x = 13,709.25 × 13,709.25
4. Step 4: Simplify right side
   9,380.25x = 187,943,535.56
5. Step 5: Solve for x
   x = 187,943,535.56/9,380.25
6. Step 6: Final answer
   x = 20,036.09