Finding the Third Proportional to 1,567.50 and 3,506.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.50 : 3,506.25 = 3,506.25 : x
2. Step 2: Convert to fraction form
   1,567.50/3,506.25 = 3,506.25/x
3. Step 3: Cross multiply
   1,567.50x = 3,506.25 × 3,506.25
4. Step 4: Simplify right side
   1,567.50x = 12,293,789.06
5. Step 5: Solve for x
   x = 12,293,789.06/1,567.50
6. Step 6: Final answer
   x = 7,842.93