Finding the Third Proportional to 1,906.50 and 4,224.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,906.50 : 4,224.25 = 4,224.25 : x
2. Step 2: Convert to fraction form
   1,906.50/4,224.25 = 4,224.25/x
3. Step 3: Cross multiply
   1,906.50x = 4,224.25 × 4,224.25
4. Step 4: Simplify right side
   1,906.50x = 17,844,288.06
5. Step 5: Solve for x
   x = 17,844,288.06/1,906.50
6. Step 6: Final answer
   x = 9,359.71