Finding the Third Proportional to 1,567.50 and 3,405.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.50 : 3,405.13 = 3,405.13 : x
2. Step 2: Convert to fraction form
   1,567.50/3,405.13 = 3,405.13/x
3. Step 3: Cross multiply
   1,567.50x = 3,405.13 × 3,405.13
4. Step 4: Simplify right side
   1,567.50x = 11,594,876.27
5. Step 5: Solve for x
   x = 11,594,876.27/1,567.50
6. Step 6: Final answer
   x = 7,397.05