Finding the Third Proportional to 11,700 and 17,725

Step by Step Solution

1. Step 1: Write the proportion equation
   11,700 : 17,725 = 17,725 : x
2. Step 2: Convert to fraction form
   11,700/17,725 = 17,725/x
3. Step 3: Cross multiply
   11,700x = 17,725 × 17,725
4. Step 4: Simplify right side
   11,700x = 314,175,625
5. Step 5: Solve for x
   x = 314,175,625/11,700
6. Step 6: Final answer
   x = 26,852.62