Finding the Third Proportional to 1,095.94 and 1,583.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.94 : 1,583.06 = 1,583.06 : x
2. Step 2: Convert to fraction form
   1,095.94/1,583.06 = 1,583.06/x
3. Step 3: Cross multiply
   1,095.94x = 1,583.06 × 1,583.06
4. Step 4: Simplify right side
   1,095.94x = 2,506,086.88
5. Step 5: Solve for x
   x = 2,506,086.88/1,095.94
6. Step 6: Final answer
   x = 2,286.71