Finding the Third Proportional to 11,700 and 17,510

Step by Step Solution

1. Step 1: Write the proportion equation
   11,700 : 17,510 = 17,510 : x
2. Step 2: Convert to fraction form
   11,700/17,510 = 17,510/x
3. Step 3: Cross multiply
   11,700x = 17,510 × 17,510
4. Step 4: Simplify right side
   11,700x = 306,600,100
5. Step 5: Solve for x
   x = 306,600,100/11,700
6. Step 6: Final answer
   x = 26,205.14