Finding the Third Proportional to 1,743.91 and 3,815.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,743.91 : 3,815.31 = 3,815.31 : x
2. Step 2: Convert to fraction form
   1,743.91/3,815.31 = 3,815.31/x
3. Step 3: Cross multiply
   1,743.91x = 3,815.31 × 3,815.31
4. Step 4: Simplify right side
   1,743.91x = 14,556,557.31
5. Step 5: Solve for x
   x = 14,556,557.31/1,743.91
6. Step 6: Final answer
   x = 8,347.07