Finding the Third Proportional to 11,577 and 12,657

Step by Step Solution

1. Step 1: Write the proportion equation
   11,577 : 12,657 = 12,657 : x
2. Step 2: Convert to fraction form
   11,577/12,657 = 12,657/x
3. Step 3: Cross multiply
   11,577x = 12,657 × 12,657
4. Step 4: Simplify right side
   11,577x = 160,199,649
5. Step 5: Solve for x
   x = 160,199,649/11,577
6. Step 6: Final answer
   x = 13,837.75