Finding the Third Proportional to 1,764.94 and 3,485.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,764.94 : 3,485.25 = 3,485.25 : x
2. Step 2: Convert to fraction form
   1,764.94/3,485.25 = 3,485.25/x
3. Step 3: Cross multiply
   1,764.94x = 3,485.25 × 3,485.25
4. Step 4: Simplify right side
   1,764.94x = 12,146,967.56
5. Step 5: Solve for x
   x = 12,146,967.56/1,764.94
6. Step 6: Final answer
   x = 6,882.38