Finding the Third Proportional to 7,647.75 and 10,065.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,647.75 : 10,065.38 = 10,065.38 : x
2. Step 2: Convert to fraction form
   7,647.75/10,065.38 = 10,065.38/x
3. Step 3: Cross multiply
   7,647.75x = 10,065.38 × 10,065.38
4. Step 4: Simplify right side
   7,647.75x = 101,311,773.89
5. Step 5: Solve for x
   x = 101,311,773.89/7,647.75
6. Step 6: Final answer
   x = 13,247.27