Finding the Third Proportional to 1,572.75 and 3,427.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,572.75 : 3,427.31 = 3,427.31 : x
2. Step 2: Convert to fraction form
   1,572.75/3,427.31 = 3,427.31/x
3. Step 3: Cross multiply
   1,572.75x = 3,427.31 × 3,427.31
4. Step 4: Simplify right side
   1,572.75x = 11,746,470.97
5. Step 5: Solve for x
   x = 11,746,470.97/1,572.75
6. Step 6: Final answer
   x = 7,468.75