Finding the Third Proportional to 1,706.25 and 3,584.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.25 : 3,584.63 = 3,584.63 : x
2. Step 2: Convert to fraction form
   1,706.25/3,584.63 = 3,584.63/x
3. Step 3: Cross multiply
   1,706.25x = 3,584.63 × 3,584.63
4. Step 4: Simplify right side
   1,706.25x = 12,849,536.39
5. Step 5: Solve for x
   x = 12,849,536.39/1,706.25
6. Step 6: Final answer
   x = 7,530.86