Finding the Third Proportional to 589.50 and 1,095.38

Step by Step Solution

1. Step 1: Write the proportion equation
   589.50 : 1,095.38 = 1,095.38 : x
2. Step 2: Convert to fraction form
   589.50/1,095.38 = 1,095.38/x
3. Step 3: Cross multiply
   589.50x = 1,095.38 × 1,095.38
4. Step 4: Simplify right side
   589.50x = 1,199,846.39
5. Step 5: Solve for x
   x = 1,199,846.39/589.50
6. Step 6: Final answer
   x = 2,035.36