Finding the Third Proportional to 1,613 and 2,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,613 : 2,417.50 = 2,417.50 : x
2. Step 2: Convert to fraction form
   1,613/2,417.50 = 2,417.50/x
3. Step 3: Cross multiply
   1,613x = 2,417.50 × 2,417.50
4. Step 4: Simplify right side
   1,613x = 5,844,306.25
5. Step 5: Solve for x
   x = 5,844,306.25/1,613
6. Step 6: Final answer
   x = 3,623.25