Finding the Third Proportional to 2,069 and 3,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069 : 3,140.50 = 3,140.50 : x
2. Step 2: Convert to fraction form
   2,069/3,140.50 = 3,140.50/x
3. Step 3: Cross multiply
   2,069x = 3,140.50 × 3,140.50
4. Step 4: Simplify right side
   2,069x = 9,862,740.25
5. Step 5: Solve for x
   x = 9,862,740.25/2,069
6. Step 6: Final answer
   x = 4,766.91