Finding the Third Proportional to 2,415 and 5,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,415 : 5,188.50 = 5,188.50 : x
2. Step 2: Convert to fraction form
   2,415/5,188.50 = 5,188.50/x
3. Step 3: Cross multiply
   2,415x = 5,188.50 × 5,188.50
4. Step 4: Simplify right side
   2,415x = 26,920,532.25
5. Step 5: Solve for x
   x = 26,920,532.25/2,415
6. Step 6: Final answer
   x = 11,147.22