Finding the Third Proportional to 2,135.25 and 4,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,135.25 : 4,621.50 = 4,621.50 : x
2. Step 2: Convert to fraction form
   2,135.25/4,621.50 = 4,621.50/x
3. Step 3: Cross multiply
   2,135.25x = 4,621.50 × 4,621.50
4. Step 4: Simplify right side
   2,135.25x = 21,358,262.25
5. Step 5: Solve for x
   x = 21,358,262.25/2,135.25
6. Step 6: Final answer
   x = 10,002.70