Finding the Third Proportional to 7,674.75 and 12,394.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,674.75 : 12,394.69 = 12,394.69 : x
2. Step 2: Convert to fraction form
   7,674.75/12,394.69 = 12,394.69/x
3. Step 3: Cross multiply
   7,674.75x = 12,394.69 × 12,394.69
4. Step 4: Simplify right side
   7,674.75x = 153,628,278.22
5. Step 5: Solve for x
   x = 153,628,278.22/7,674.75
6. Step 6: Final answer
   x = 20,017.37