Finding the Third Proportional to 5,663 and 12,355

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663 : 12,355 = 12,355 : x
2. Step 2: Convert to fraction form
   5,663/12,355 = 12,355/x
3. Step 3: Cross multiply
   5,663x = 12,355 × 12,355
4. Step 4: Simplify right side
   5,663x = 152,646,025
5. Step 5: Solve for x
   x = 152,646,025/5,663
6. Step 6: Final answer
   x = 26,954.98