Finding the Third Proportional to 1,327.50 and 1,746.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,327.50 : 1,746.38 = 1,746.38 : x
2. Step 2: Convert to fraction form
   1,327.50/1,746.38 = 1,746.38/x
3. Step 3: Cross multiply
   1,327.50x = 1,746.38 × 1,746.38
4. Step 4: Simplify right side
   1,327.50x = 3,049,825.64
5. Step 5: Solve for x
   x = 3,049,825.64/1,327.50
6. Step 6: Final answer
   x = 2,297.42