Finding the Third Proportional to 1,782.75 and 3,529.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.75 : 3,529.88 = 3,529.88 : x
2. Step 2: Convert to fraction form
   1,782.75/3,529.88 = 3,529.88/x
3. Step 3: Cross multiply
   1,782.75x = 3,529.88 × 3,529.88
4. Step 4: Simplify right side
   1,782.75x = 12,460,017.52
5. Step 5: Solve for x
   x = 12,460,017.52/1,782.75
6. Step 6: Final answer
   x = 6,989.21