Finding the Third Proportional to 1,746.56 and 2,775.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.56 : 2,775.09 = 2,775.09 : x
2. Step 2: Convert to fraction form
   1,746.56/2,775.09 = 2,775.09/x
3. Step 3: Cross multiply
   1,746.56x = 2,775.09 × 2,775.09
4. Step 4: Simplify right side
   1,746.56x = 7,701,145.32
5. Step 5: Solve for x
   x = 7,701,145.32/1,746.56
6. Step 6: Final answer
   x = 4,409.32