Finding the Third Proportional to 1,584.25 and 3,701.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.25 : 3,701.00 = 3,701.00 : x
2. Step 2: Convert to fraction form
   1,584.25/3,701.00 = 3,701.00/x
3. Step 3: Cross multiply
   1,584.25x = 3,701.00 × 3,701.00
4. Step 4: Simplify right side
   1,584.25x = 13,697,429.91
5. Step 5: Solve for x
   x = 13,697,429.91/1,584.25
6. Step 6: Final answer
   x = 8,646.02