Finding the Third Proportional to 6,315.75 and 10,536.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,315.75 : 10,536.75 = 10,536.75 : x
2. Step 2: Convert to fraction form
   6,315.75/10,536.75 = 10,536.75/x
3. Step 3: Cross multiply
   6,315.75x = 10,536.75 × 10,536.75
4. Step 4: Simplify right side
   6,315.75x = 111,023,100.56
5. Step 5: Solve for x
   x = 111,023,100.56/6,315.75
6. Step 6: Final answer
   x = 17,578.77