Finding the Third Proportional to 5,824 and 12,168

Step by Step Solution

1. Step 1: Write the proportion equation
   5,824 : 12,168 = 12,168 : x
2. Step 2: Convert to fraction form
   5,824/12,168 = 12,168/x
3. Step 3: Cross multiply
   5,824x = 12,168 × 12,168
4. Step 4: Simplify right side
   5,824x = 148,060,224
5. Step 5: Solve for x
   x = 148,060,224/5,824
6. Step 6: Final answer
   x = 25,422.43