Finding the Third Proportional to 2,415 and 3,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,415 : 3,706.50 = 3,706.50 : x
2. Step 2: Convert to fraction form
   2,415/3,706.50 = 3,706.50/x
3. Step 3: Cross multiply
   2,415x = 3,706.50 × 3,706.50
4. Step 4: Simplify right side
   2,415x = 13,738,142.25
5. Step 5: Solve for x
   x = 13,738,142.25/2,415
6. Step 6: Final answer
   x = 5,688.67