Finding the Third Proportional to 11,677 and 25,333

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677 : 25,333 = 25,333 : x
2. Step 2: Convert to fraction form
   11,677/25,333 = 25,333/x
3. Step 3: Cross multiply
   11,677x = 25,333 × 25,333
4. Step 4: Simplify right side
   11,677x = 641,760,889
5. Step 5: Solve for x
   x = 641,760,889/11,677
6. Step 6: Final answer
   x = 54,959.40