Finding the Third Proportional to 1,661 and 2,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,661 : 2,719.50 = 2,719.50 : x
2. Step 2: Convert to fraction form
   1,661/2,719.50 = 2,719.50/x
3. Step 3: Cross multiply
   1,661x = 2,719.50 × 2,719.50
4. Step 4: Simplify right side
   1,661x = 7,395,680.25
5. Step 5: Solve for x
   x = 7,395,680.25/1,661
6. Step 6: Final answer
   x = 4,452.55