Finding the Third Proportional to 1,179.56 and 1,764.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,179.56 : 1,764.28 = 1,764.28 : x
2. Step 2: Convert to fraction form
   1,179.56/1,764.28 = 1,764.28/x
3. Step 3: Cross multiply
   1,179.56x = 1,764.28 × 1,764.28
4. Step 4: Simplify right side
   1,179.56x = 3,112,688.33
5. Step 5: Solve for x
   x = 3,112,688.33/1,179.56
6. Step 6: Final answer
   x = 2,638.85