Finding the Third Proportional to 1,752.75 and 3,456.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,752.75 : 3,456.56 = 3,456.56 : x
2. Step 2: Convert to fraction form
   1,752.75/3,456.56 = 3,456.56/x
3. Step 3: Cross multiply
   1,752.75x = 3,456.56 × 3,456.56
4. Step 4: Simplify right side
   1,752.75x = 11,947,824.32
5. Step 5: Solve for x
   x = 11,947,824.32/1,752.75
6. Step 6: Final answer
   x = 6,816.62