Finding the Third Proportional to 4,191.75 and 7,446.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,191.75 : 7,446.38 = 7,446.38 : x
2. Step 2: Convert to fraction form
   4,191.75/7,446.38 = 7,446.38/x
3. Step 3: Cross multiply
   4,191.75x = 7,446.38 × 7,446.38
4. Step 4: Simplify right side
   4,191.75x = 55,448,500.64
5. Step 5: Solve for x
   x = 55,448,500.64/4,191.75
6. Step 6: Final answer
   x = 13,228.01