Finding the Third Proportional to 9,710 and 14,614

Step by Step Solution

1. Step 1: Write the proportion equation
   9,710 : 14,614 = 14,614 : x
2. Step 2: Convert to fraction form
   9,710/14,614 = 14,614/x
3. Step 3: Cross multiply
   9,710x = 14,614 × 14,614
4. Step 4: Simplify right side
   9,710x = 213,568,996
5. Step 5: Solve for x
   x = 213,568,996/9,710
6. Step 6: Final answer
   x = 21,994.75