Finding the Third Proportional to 6,502.78 and 7,388.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,502.78 : 7,388.72 = 7,388.72 : x
2. Step 2: Convert to fraction form
   6,502.78/7,388.72 = 7,388.72/x
3. Step 3: Cross multiply
   6,502.78x = 7,388.72 × 7,388.72
4. Step 4: Simplify right side
   6,502.78x = 54,593,164.77
5. Step 5: Solve for x
   x = 54,593,164.77/6,502.78
6. Step 6: Final answer
   x = 8,395.36