Finding the Third Proportional to 11,558 and 12,638

Step by Step Solution

1. Step 1: Write the proportion equation
   11,558 : 12,638 = 12,638 : x
2. Step 2: Convert to fraction form
   11,558/12,638 = 12,638/x
3. Step 3: Cross multiply
   11,558x = 12,638 × 12,638
4. Step 4: Simplify right side
   11,558x = 159,719,044
5. Step 5: Solve for x
   x = 159,719,044/11,558
6. Step 6: Final answer
   x = 13,818.92