Finding the Third Proportional to 5,899 and 12,274

Step by Step Solution

1. Step 1: Write the proportion equation
   5,899 : 12,274 = 12,274 : x
2. Step 2: Convert to fraction form
   5,899/12,274 = 12,274/x
3. Step 3: Cross multiply
   5,899x = 12,274 × 12,274
4. Step 4: Simplify right side
   5,899x = 150,651,076
5. Step 5: Solve for x
   x = 150,651,076/5,899
6. Step 6: Final answer
   x = 25,538.41