Finding the Third Proportional to 11,677 and 25,722

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677 : 25,722 = 25,722 : x
2. Step 2: Convert to fraction form
   11,677/25,722 = 25,722/x
3. Step 3: Cross multiply
   11,677x = 25,722 × 25,722
4. Step 4: Simplify right side
   11,677x = 661,621,284
5. Step 5: Solve for x
   x = 661,621,284/11,677
6. Step 6: Final answer
   x = 56,660.21