Finding the Third Proportional to 2,186.50 and 2,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,186.50 : 2,366.50 = 2,366.50 : x
2. Step 2: Convert to fraction form
   2,186.50/2,366.50 = 2,366.50/x
3. Step 3: Cross multiply
   2,186.50x = 2,366.50 × 2,366.50
4. Step 4: Simplify right side
   2,186.50x = 5,600,322.25
5. Step 5: Solve for x
   x = 5,600,322.25/2,186.50
6. Step 6: Final answer
   x = 2,561.32