Finding the Third Proportional to 1,709 and 2,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709 : 2,651.50 = 2,651.50 : x
2. Step 2: Convert to fraction form
   1,709/2,651.50 = 2,651.50/x
3. Step 3: Cross multiply
   1,709x = 2,651.50 × 2,651.50
4. Step 4: Simplify right side
   1,709x = 7,030,452.25
5. Step 5: Solve for x
   x = 7,030,452.25/1,709
6. Step 6: Final answer
   x = 4,113.78