Finding the Third Proportional to 5,302.97 and 7,808.91

Step by Step Solution

1. Step 1: Write the proportion equation
   5,302.97 : 7,808.91 = 7,808.91 : x
2. Step 2: Convert to fraction form
   5,302.97/7,808.91 = 7,808.91/x
3. Step 3: Cross multiply
   5,302.97x = 7,808.91 × 7,808.91
4. Step 4: Simplify right side
   5,302.97x = 60,979,016.82
5. Step 5: Solve for x
   x = 60,979,016.82/5,302.97
6. Step 6: Final answer
   x = 11,499.03