Finding the Third Proportional to 2,186.25 and 4,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,186.25 : 4,651.50 = 4,651.50 : x
2. Step 2: Convert to fraction form
   2,186.25/4,651.50 = 4,651.50/x
3. Step 3: Cross multiply
   2,186.25x = 4,651.50 × 4,651.50
4. Step 4: Simplify right side
   2,186.25x = 21,636,452.25
5. Step 5: Solve for x
   x = 21,636,452.25/2,186.25
6. Step 6: Final answer
   x = 9,896.60