Finding the Third Proportional to 13,724 and 28,424

Step by Step Solution

1. Step 1: Write the proportion equation
   13,724 : 28,424 = 28,424 : x
2. Step 2: Convert to fraction form
   13,724/28,424 = 28,424/x
3. Step 3: Cross multiply
   13,724x = 28,424 × 28,424
4. Step 4: Simplify right side
   13,724x = 807,923,776
5. Step 5: Solve for x
   x = 807,923,776/13,724
6. Step 6: Final answer
   x = 58,869.41