Finding the Third Proportional to 3,584 and 7,810

Step by Step Solution

1. Step 1: Write the proportion equation
   3,584 : 7,810 = 7,810 : x
2. Step 2: Convert to fraction form
   3,584/7,810 = 7,810/x
3. Step 3: Cross multiply
   3,584x = 7,810 × 7,810
4. Step 4: Simplify right side
   3,584x = 60,996,100
5. Step 5: Solve for x
   x = 60,996,100/3,584
6. Step 6: Final answer
   x = 17,019.00