Finding the Third Proportional to 3,584.25 and 7,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,584.25 : 7,816.50 = 7,816.50 : x
2. Step 2: Convert to fraction form
   3,584.25/7,816.50 = 7,816.50/x
3. Step 3: Cross multiply
   3,584.25x = 7,816.50 × 7,816.50
4. Step 4: Simplify right side
   3,584.25x = 61,097,672.25
5. Step 5: Solve for x
   x = 61,097,672.25/3,584.25
6. Step 6: Final answer
   x = 17,046.15