Finding the Third Proportional to 11,480 and 17,662

Step by Step Solution

1. Step 1: Write the proportion equation
   11,480 : 17,662 = 17,662 : x
2. Step 2: Convert to fraction form
   11,480/17,662 = 17,662/x
3. Step 3: Cross multiply
   11,480x = 17,662 × 17,662
4. Step 4: Simplify right side
   11,480x = 311,946,244
5. Step 5: Solve for x
   x = 311,946,244/11,480
6. Step 6: Final answer
   x = 27,173.02