Finding the Third Proportional to 2,407.50 and 5,214.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.50 : 5,214.38 = 5,214.38 : x
2. Step 2: Convert to fraction form
   2,407.50/5,214.38 = 5,214.38/x
3. Step 3: Cross multiply
   2,407.50x = 5,214.38 × 5,214.38
4. Step 4: Simplify right side
   2,407.50x = 27,189,706.64
5. Step 5: Solve for x
   x = 27,189,706.64/2,407.50
6. Step 6: Final answer
   x = 11,293.75