Finding the Third Proportional to 8,294.50 and 12,199.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,294.50 : 12,199.75 = 12,199.75 : x
2. Step 2: Convert to fraction form
   8,294.50/12,199.75 = 12,199.75/x
3. Step 3: Cross multiply
   8,294.50x = 12,199.75 × 12,199.75
4. Step 4: Simplify right side
   8,294.50x = 148,833,900.06
5. Step 5: Solve for x
   x = 148,833,900.06/8,294.50
6. Step 6: Final answer
   x = 17,943.69