Finding the Third Proportional to 1,236.50 and 1,920.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,236.50 : 1,920.75 = 1,920.75 : x
2. Step 2: Convert to fraction form
   1,236.50/1,920.75 = 1,920.75/x
3. Step 3: Cross multiply
   1,236.50x = 1,920.75 × 1,920.75
4. Step 4: Simplify right side
   1,236.50x = 3,689,280.56
5. Step 5: Solve for x
   x = 3,689,280.56/1,236.50
6. Step 6: Final answer
   x = 2,983.65