Finding the Third Proportional to 20,424 and 31,014

Step by Step Solution

1. Step 1: Write the proportion equation
   20,424 : 31,014 = 31,014 : x
2. Step 2: Convert to fraction form
   20,424/31,014 = 31,014/x
3. Step 3: Cross multiply
   20,424x = 31,014 × 31,014
4. Step 4: Simplify right side
   20,424x = 961,868,196
5. Step 5: Solve for x
   x = 961,868,196/20,424
6. Step 6: Final answer
   x = 47,095.00