Finding the Third Proportional to 11,554 and 12,634

Step by Step Solution

1. Step 1: Write the proportion equation
   11,554 : 12,634 = 12,634 : x
2. Step 2: Convert to fraction form
   11,554/12,634 = 12,634/x
3. Step 3: Cross multiply
   11,554x = 12,634 × 12,634
4. Step 4: Simplify right side
   11,554x = 159,617,956
5. Step 5: Solve for x
   x = 159,617,956/11,554
6. Step 6: Final answer
   x = 13,814.95