Finding the Third Proportional to 1,782 and 3,913.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782 : 3,913.31 = 3,913.31 : x
2. Step 2: Convert to fraction form
   1,782/3,913.31 = 3,913.31/x
3. Step 3: Cross multiply
   1,782x = 3,913.31 × 3,913.31
4. Step 4: Simplify right side
   1,782x = 15,314,014.72
5. Step 5: Solve for x
   x = 15,314,014.72/1,782
6. Step 6: Final answer
   x = 8,593.72