Finding the Third Proportional to 7,406.75 and 15,684.89

Step by Step Solution

1. Step 1: Write the proportion equation
   7,406.75 : 15,684.89 = 15,684.89 : x
2. Step 2: Convert to fraction form
   7,406.75/15,684.89 = 15,684.89/x
3. Step 3: Cross multiply
   7,406.75x = 15,684.89 × 15,684.89
4. Step 4: Simplify right side
   7,406.75x = 246,015,793.92
5. Step 5: Solve for x
   x = 246,015,793.92/7,406.75
6. Step 6: Final answer
   x = 33,215.06