Finding the Third Proportional to 11,500 and 17,148

Step by Step Solution

1. Step 1: Write the proportion equation
   11,500 : 17,148 = 17,148 : x
2. Step 2: Convert to fraction form
   11,500/17,148 = 17,148/x
3. Step 3: Cross multiply
   11,500x = 17,148 × 17,148
4. Step 4: Simplify right side
   11,500x = 294,053,904
5. Step 5: Solve for x
   x = 294,053,904/11,500
6. Step 6: Final answer
   x = 25,569.90