Finding the Third Proportional to 9,924 and 17,670

Step by Step Solution

1. Step 1: Write the proportion equation
   9,924 : 17,670 = 17,670 : x
2. Step 2: Convert to fraction form
   9,924/17,670 = 17,670/x
3. Step 3: Cross multiply
   9,924x = 17,670 × 17,670
4. Step 4: Simplify right side
   9,924x = 312,228,900
5. Step 5: Solve for x
   x = 312,228,900/9,924
6. Step 6: Final answer
   x = 31,462.00