Finding the Third Proportional to 1,782 and 2,698.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782 : 2,698.31 = 2,698.31 : x
2. Step 2: Convert to fraction form
   1,782/2,698.31 = 2,698.31/x
3. Step 3: Cross multiply
   1,782x = 2,698.31 × 2,698.31
4. Step 4: Simplify right side
   1,782x = 7,280,890.35
5. Step 5: Solve for x
   x = 7,280,890.35/1,782
6. Step 6: Final answer
   x = 4,085.80