Finding the Third Proportional to 2,186.50 and 3,410

Step by Step Solution

1. Step 1: Write the proportion equation
   2,186.50 : 3,410 = 3,410 : x
2. Step 2: Convert to fraction form
   2,186.50/3,410 = 3,410/x
3. Step 3: Cross multiply
   2,186.50x = 3,410 × 3,410
4. Step 4: Simplify right side
   2,186.50x = 11,628,100
5. Step 5: Solve for x
   x = 11,628,100/2,186.50
6. Step 6: Final answer
   x = 5,318.13