Finding the Third Proportional to 1,949.25 and 4,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,949.25 : 4,210.50 = 4,210.50 : x
2. Step 2: Convert to fraction form
   1,949.25/4,210.50 = 4,210.50/x
3. Step 3: Cross multiply
   1,949.25x = 4,210.50 × 4,210.50
4. Step 4: Simplify right side
   1,949.25x = 17,728,310.25
5. Step 5: Solve for x
   x = 17,728,310.25/1,949.25
6. Step 6: Final answer
   x = 9,094.94