Finding the Third Proportional to 5,824 and 12,134

Step by Step Solution

1. Step 1: Write the proportion equation
   5,824 : 12,134 = 12,134 : x
2. Step 2: Convert to fraction form
   5,824/12,134 = 12,134/x
3. Step 3: Cross multiply
   5,824x = 12,134 × 12,134
4. Step 4: Simplify right side
   5,824x = 147,233,956
5. Step 5: Solve for x
   x = 147,233,956/5,824
6. Step 6: Final answer
   x = 25,280.56