Finding the Third Proportional to 1,838.25 and 4,336.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.25 : 4,336.03 = 4,336.03 : x
2. Step 2: Convert to fraction form
   1,838.25/4,336.03 = 4,336.03/x
3. Step 3: Cross multiply
   1,838.25x = 4,336.03 × 4,336.03
4. Step 4: Simplify right side
   1,838.25x = 18,801,167.00
5. Step 5: Solve for x
   x = 18,801,167.00/1,838.25
6. Step 6: Final answer
   x = 10,227.75