Finding the Third Proportional to 1,563.25 and 3,342.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,563.25 : 3,342.63 = 3,342.63 : x
2. Step 2: Convert to fraction form
   1,563.25/3,342.63 = 3,342.63/x
3. Step 3: Cross multiply
   1,563.25x = 3,342.63 × 3,342.63
4. Step 4: Simplify right side
   1,563.25x = 11,173,141.89
5. Step 5: Solve for x
   x = 11,173,141.89/1,563.25
6. Step 6: Final answer
   x = 7,147.38