Finding the Third Proportional to 5,876 and 12,358

Step by Step Solution

1. Step 1: Write the proportion equation
   5,876 : 12,358 = 12,358 : x
2. Step 2: Convert to fraction form
   5,876/12,358 = 12,358/x
3. Step 3: Cross multiply
   5,876x = 12,358 × 12,358
4. Step 4: Simplify right side
   5,876x = 152,720,164
5. Step 5: Solve for x
   x = 152,720,164/5,876
6. Step 6: Final answer
   x = 25,990.50