Finding the Third Proportional to 10,627 and 17,614

Step by Step Solution

1. Step 1: Write the proportion equation
   10,627 : 17,614 = 17,614 : x
2. Step 2: Convert to fraction form
   10,627/17,614 = 17,614/x
3. Step 3: Cross multiply
   10,627x = 17,614 × 17,614
4. Step 4: Simplify right side
   10,627x = 310,252,996
5. Step 5: Solve for x
   x = 310,252,996/10,627
6. Step 6: Final answer
   x = 29,194.79