Finding the Third Proportional to 5,239.69 and 7,657.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,239.69 : 7,657.03 = 7,657.03 : x
2. Step 2: Convert to fraction form
   5,239.69/7,657.03 = 7,657.03/x
3. Step 3: Cross multiply
   5,239.69x = 7,657.03 × 7,657.03
4. Step 4: Simplify right side
   5,239.69x = 58,630,127.56
5. Step 5: Solve for x
   x = 58,630,127.56/5,239.69
6. Step 6: Final answer
   x = 11,189.62