Finding the Third Proportional to 5,882 and 12,151

Step by Step Solution

1. Step 1: Write the proportion equation
   5,882 : 12,151 = 12,151 : x
2. Step 2: Convert to fraction form
   5,882/12,151 = 12,151/x
3. Step 3: Cross multiply
   5,882x = 12,151 × 12,151
4. Step 4: Simplify right side
   5,882x = 147,646,801
5. Step 5: Solve for x
   x = 147,646,801/5,882
6. Step 6: Final answer
   x = 25,101.46