Finding the Third Proportional to 1,158.37 and 1,841.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.37 : 1,841.81 = 1,841.81 : x
2. Step 2: Convert to fraction form
   1,158.37/1,841.81 = 1,841.81/x
3. Step 3: Cross multiply
   1,158.37x = 1,841.81 × 1,841.81
4. Step 4: Simplify right side
   1,158.37x = 3,392,266.54
5. Step 5: Solve for x
   x = 3,392,266.54/1,158.37
6. Step 6: Final answer
   x = 2,928.47