Finding the Third Proportional to 11,584 and 17,700

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584 : 17,700 = 17,700 : x
2. Step 2: Convert to fraction form
   11,584/17,700 = 17,700/x
3. Step 3: Cross multiply
   11,584x = 17,700 × 17,700
4. Step 4: Simplify right side
   11,584x = 313,290,000
5. Step 5: Solve for x
   x = 313,290,000/11,584
6. Step 6: Final answer
   x = 27,045.06