Finding the Third Proportional to 3,498.35 and 7,707.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,498.35 : 7,707.89 = 7,707.89 : x
2. Step 2: Convert to fraction form
   3,498.35/7,707.89 = 7,707.89/x
3. Step 3: Cross multiply
   3,498.35x = 7,707.89 × 7,707.89
4. Step 4: Simplify right side
   3,498.35x = 59,411,623.05
5. Step 5: Solve for x
   x = 59,411,623.05/3,498.35
6. Step 6: Final answer
   x = 16,982.78