Finding the Third Proportional to 11,500 and 17,778

Step by Step Solution

1. Step 1: Write the proportion equation
   11,500 : 17,778 = 17,778 : x
2. Step 2: Convert to fraction form
   11,500/17,778 = 17,778/x
3. Step 3: Cross multiply
   11,500x = 17,778 × 17,778
4. Step 4: Simplify right side
   11,500x = 316,057,284
5. Step 5: Solve for x
   x = 316,057,284/11,500
6. Step 6: Final answer
   x = 27,483.24