Finding the Third Proportional to 2,534 and 5,876

Step by Step Solution

1. Step 1: Write the proportion equation
   2,534 : 5,876 = 5,876 : x
2. Step 2: Convert to fraction form
   2,534/5,876 = 5,876/x
3. Step 3: Cross multiply
   2,534x = 5,876 × 5,876
4. Step 4: Simplify right side
   2,534x = 34,527,376
5. Step 5: Solve for x
   x = 34,527,376/2,534
6. Step 6: Final answer
   x = 13,625.64