Finding the Third Proportional to 1,619.50 and 2,433.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,619.50 : 2,433.25 = 2,433.25 : x
2. Step 2: Convert to fraction form
   1,619.50/2,433.25 = 2,433.25/x
3. Step 3: Cross multiply
   1,619.50x = 2,433.25 × 2,433.25
4. Step 4: Simplify right side
   1,619.50x = 5,920,705.56
5. Step 5: Solve for x
   x = 5,920,705.56/1,619.50
6. Step 6: Final answer
   x = 3,655.88