Finding the Third Proportional to 1,634 and 2,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634 : 2,419.50 = 2,419.50 : x
2. Step 2: Convert to fraction form
   1,634/2,419.50 = 2,419.50/x
3. Step 3: Cross multiply
   1,634x = 2,419.50 × 2,419.50
4. Step 4: Simplify right side
   1,634x = 5,853,980.25
5. Step 5: Solve for x
   x = 5,853,980.25/1,634
6. Step 6: Final answer
   x = 3,582.61