Finding the Third Proportional to 1,793 and 2,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,793 : 2,361.50 = 2,361.50 : x
2. Step 2: Convert to fraction form
   1,793/2,361.50 = 2,361.50/x
3. Step 3: Cross multiply
   1,793x = 2,361.50 × 2,361.50
4. Step 4: Simplify right side
   1,793x = 5,576,682.25
5. Step 5: Solve for x
   x = 5,576,682.25/1,793
6. Step 6: Final answer
   x = 3,110.25