Finding the Third Proportional to 11,722.50 and 17,271

Step by Step Solution

1. Step 1: Write the proportion equation
   11,722.50 : 17,271 = 17,271 : x
2. Step 2: Convert to fraction form
   11,722.50/17,271 = 17,271/x
3. Step 3: Cross multiply
   11,722.50x = 17,271 × 17,271
4. Step 4: Simplify right side
   11,722.50x = 298,287,441
5. Step 5: Solve for x
   x = 298,287,441/11,722.50
6. Step 6: Final answer
   x = 25,445.72