Finding the Third Proportional to 7,674.75 and 12,009.52

Step by Step Solution

1. Step 1: Write the proportion equation
   7,674.75 : 12,009.52 = 12,009.52 : x
2. Step 2: Convert to fraction form
   7,674.75/12,009.52 = 12,009.52/x
3. Step 3: Cross multiply
   7,674.75x = 12,009.52 × 12,009.52
4. Step 4: Simplify right side
   7,674.75x = 144,228,465.55
5. Step 5: Solve for x
   x = 144,228,465.55/7,674.75
6. Step 6: Final answer
   x = 18,792.59