Finding the Third Proportional to 5,876 and 13,630

Step by Step Solution

1. Step 1: Write the proportion equation
   5,876 : 13,630 = 13,630 : x
2. Step 2: Convert to fraction form
   5,876/13,630 = 13,630/x
3. Step 3: Cross multiply
   5,876x = 13,630 × 13,630
4. Step 4: Simplify right side
   5,876x = 185,776,900
5. Step 5: Solve for x
   x = 185,776,900/5,876
6. Step 6: Final answer
   x = 31,616.22