Finding the Third Proportional to 10,132 and 20,670

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132 : 20,670 = 20,670 : x
2. Step 2: Convert to fraction form
   10,132/20,670 = 20,670/x
3. Step 3: Cross multiply
   10,132x = 20,670 × 20,670
4. Step 4: Simplify right side
   10,132x = 427,248,900
5. Step 5: Solve for x
   x = 427,248,900/10,132
6. Step 6: Final answer
   x = 42,168.27