Finding the Third Proportional to 10,636 and 24,670

Step by Step Solution

1. Step 1: Write the proportion equation
   10,636 : 24,670 = 24,670 : x
2. Step 2: Convert to fraction form
   10,636/24,670 = 24,670/x
3. Step 3: Cross multiply
   10,636x = 24,670 × 24,670
4. Step 4: Simplify right side
   10,636x = 608,608,900
5. Step 5: Solve for x
   x = 608,608,900/10,636
6. Step 6: Final answer
   x = 57,221.60