Finding the Third Proportional to 3,409.63 and 7,469.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,409.63 : 7,469.88 = 7,469.88 : x
2. Step 2: Convert to fraction form
   3,409.63/7,469.88 = 7,469.88/x
3. Step 3: Cross multiply
   3,409.63x = 7,469.88 × 7,469.88
4. Step 4: Simplify right side
   3,409.63x = 55,799,032.52
5. Step 5: Solve for x
   x = 55,799,032.52/3,409.63
6. Step 6: Final answer
   x = 16,365.15