Finding the Third Proportional to 11,553 and 12,633

Step by Step Solution

1. Step 1: Write the proportion equation
   11,553 : 12,633 = 12,633 : x
2. Step 2: Convert to fraction form
   11,553/12,633 = 12,633/x
3. Step 3: Cross multiply
   11,553x = 12,633 × 12,633
4. Step 4: Simplify right side
   11,553x = 159,592,689
5. Step 5: Solve for x
   x = 159,592,689/11,553
6. Step 6: Final answer
   x = 13,813.96