Finding the Third Proportional to 1,838.25 and 2,805.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.25 : 2,805.47 = 2,805.47 : x
2. Step 2: Convert to fraction form
   1,838.25/2,805.47 = 2,805.47/x
3. Step 3: Cross multiply
   1,838.25x = 2,805.47 × 2,805.47
4. Step 4: Simplify right side
   1,838.25x = 7,870,654.91
5. Step 5: Solve for x
   x = 7,870,654.91/1,838.25
6. Step 6: Final answer
   x = 4,281.60