Finding the Third Proportional to 1,567.69 and 3,438.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.69 : 3,438.56 = 3,438.56 : x
2. Step 2: Convert to fraction form
   1,567.69/3,438.56 = 3,438.56/x
3. Step 3: Cross multiply
   1,567.69x = 3,438.56 × 3,438.56
4. Step 4: Simplify right side
   1,567.69x = 11,823,712.07
5. Step 5: Solve for x
   x = 11,823,712.07/1,567.69
6. Step 6: Final answer
   x = 7,542.14