Finding the Third Proportional to 2,547.50 and 5,372

Step by Step Solution

1. Step 1: Write the proportion equation
   2,547.50 : 5,372 = 5,372 : x
2. Step 2: Convert to fraction form
   2,547.50/5,372 = 5,372/x
3. Step 3: Cross multiply
   2,547.50x = 5,372 × 5,372
4. Step 4: Simplify right side
   2,547.50x = 28,858,384
5. Step 5: Solve for x
   x = 28,858,384/2,547.50
6. Step 6: Final answer
   x = 11,328.12