Finding the Third Proportional to 11,595 and 12,699

Step by Step Solution

1. Step 1: Write the proportion equation
   11,595 : 12,699 = 12,699 : x
2. Step 2: Convert to fraction form
   11,595/12,699 = 12,699/x
3. Step 3: Cross multiply
   11,595x = 12,699 × 12,699
4. Step 4: Simplify right side
   11,595x = 161,264,601
5. Step 5: Solve for x
   x = 161,264,601/11,595
6. Step 6: Final answer
   x = 13,908.12