Finding the Third Proportional to 10,382 and 22,424

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382 : 22,424 = 22,424 : x
2. Step 2: Convert to fraction form
   10,382/22,424 = 22,424/x
3. Step 3: Cross multiply
   10,382x = 22,424 × 22,424
4. Step 4: Simplify right side
   10,382x = 502,835,776
5. Step 5: Solve for x
   x = 502,835,776/10,382
6. Step 6: Final answer
   x = 48,433.42