Finding the Third Proportional to 3,530.25 and 7,738.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,530.25 : 7,738.88 = 7,738.88 : x
2. Step 2: Convert to fraction form
   3,530.25/7,738.88 = 7,738.88/x
3. Step 3: Cross multiply
   3,530.25x = 7,738.88 × 7,738.88
4. Step 4: Simplify right side
   3,530.25x = 59,890,186.27
5. Step 5: Solve for x
   x = 59,890,186.27/3,530.25
6. Step 6: Final answer
   x = 16,964.86