Finding the Third Proportional to 5,297.56 and 7,784.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,297.56 : 7,784.31 = 7,784.31 : x
2. Step 2: Convert to fraction form
   5,297.56/7,784.31 = 7,784.31/x
3. Step 3: Cross multiply
   5,297.56x = 7,784.31 × 7,784.31
4. Step 4: Simplify right side
   5,297.56x = 60,595,521.10
5. Step 5: Solve for x
   x = 60,595,521.10/5,297.56
6. Step 6: Final answer
   x = 11,438.38