Finding the Third Proportional to 1,158.05 and 1,740.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.05 : 1,740.87 = 1,740.87 : x
2. Step 2: Convert to fraction form
   1,158.05/1,740.87 = 1,740.87/x
3. Step 3: Cross multiply
   1,158.05x = 1,740.87 × 1,740.87
4. Step 4: Simplify right side
   1,158.05x = 3,030,618.56
5. Step 5: Solve for x
   x = 3,030,618.56/1,158.05
6. Step 6: Final answer
   x = 2,617.01