Finding the Third Proportional to 5,878 and 10,224

Step by Step Solution

1. Step 1: Write the proportion equation
   5,878 : 10,224 = 10,224 : x
2. Step 2: Convert to fraction form
   5,878/10,224 = 10,224/x
3. Step 3: Cross multiply
   5,878x = 10,224 × 10,224
4. Step 4: Simplify right side
   5,878x = 104,530,176
5. Step 5: Solve for x
   x = 104,530,176/5,878
6. Step 6: Final answer
   x = 17,783.29