Finding the Third Proportional to 20,424 and 42,909

Step by Step Solution

1. Step 1: Write the proportion equation
   20,424 : 42,909 = 42,909 : x
2. Step 2: Convert to fraction form
   20,424/42,909 = 42,909/x
3. Step 3: Cross multiply
   20,424x = 42,909 × 42,909
4. Step 4: Simplify right side
   20,424x = 1,841,182,281
5. Step 5: Solve for x
   x = 1,841,182,281/20,424
6. Step 6: Final answer
   x = 90,147.98