Finding the Third Proportional to 7,644 and 12,627

Step by Step Solution

1. Step 1: Write the proportion equation
   7,644 : 12,627 = 12,627 : x
2. Step 2: Convert to fraction form
   7,644/12,627 = 12,627/x
3. Step 3: Cross multiply
   7,644x = 12,627 × 12,627
4. Step 4: Simplify right side
   7,644x = 159,441,129
5. Step 5: Solve for x
   x = 159,441,129/7,644
6. Step 6: Final answer
   x = 20,858.34