Finding the Third Proportional to 1,575.75 and 3,427.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,575.75 : 3,427.69 = 3,427.69 : x
2. Step 2: Convert to fraction form
   1,575.75/3,427.69 = 3,427.69/x
3. Step 3: Cross multiply
   1,575.75x = 3,427.69 × 3,427.69
4. Step 4: Simplify right side
   1,575.75x = 11,749,041.60
5. Step 5: Solve for x
   x = 11,749,041.60/1,575.75
6. Step 6: Final answer
   x = 7,456.16