Finding the Third Proportional to 7,644 and 10,185

Step by Step Solution

1. Step 1: Write the proportion equation
   7,644 : 10,185 = 10,185 : x
2. Step 2: Convert to fraction form
   7,644/10,185 = 10,185/x
3. Step 3: Cross multiply
   7,644x = 10,185 × 10,185
4. Step 4: Simplify right side
   7,644x = 103,734,225
5. Step 5: Solve for x
   x = 103,734,225/7,644
6. Step 6: Final answer
   x = 13,570.67