Finding the Third Proportional to 1,146.56 and 1,722.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.56 : 1,722.38 = 1,722.38 : x
2. Step 2: Convert to fraction form
   1,146.56/1,722.38 = 1,722.38/x
3. Step 3: Cross multiply
   1,146.56x = 1,722.38 × 1,722.38
4. Step 4: Simplify right side
   1,146.56x = 2,966,575.64
5. Step 5: Solve for x
   x = 2,966,575.64/1,146.56
6. Step 6: Final answer
   x = 2,587.36