Finding the Third Proportional to 20,424 and 30,614

Step by Step Solution

1. Step 1: Write the proportion equation
   20,424 : 30,614 = 30,614 : x
2. Step 2: Convert to fraction form
   20,424/30,614 = 30,614/x
3. Step 3: Cross multiply
   20,424x = 30,614 × 30,614
4. Step 4: Simplify right side
   20,424x = 937,216,996
5. Step 5: Solve for x
   x = 937,216,996/20,424
6. Step 6: Final answer
   x = 45,888.02