Finding the Third Proportional to 6,388.88 and 8,523.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,388.88 : 8,523.56 = 8,523.56 : x
2. Step 2: Convert to fraction form
   6,388.88/8,523.56 = 8,523.56/x
3. Step 3: Cross multiply
   6,388.88x = 8,523.56 × 8,523.56
4. Step 4: Simplify right side
   6,388.88x = 72,651,117.69
5. Step 5: Solve for x
   x = 72,651,117.69/6,388.88
6. Step 6: Final answer
   x = 11,371.50