Finding the Third Proportional to 8,301.75 and 12,209.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,301.75 : 12,209.25 = 12,209.25 : x
2. Step 2: Convert to fraction form
   8,301.75/12,209.25 = 12,209.25/x
3. Step 3: Cross multiply
   8,301.75x = 12,209.25 × 12,209.25
4. Step 4: Simplify right side
   8,301.75x = 149,065,785.56
5. Step 5: Solve for x
   x = 149,065,785.56/8,301.75
6. Step 6: Final answer
   x = 17,955.95