Finding the Third Proportional to 1,521.56 and 3,274.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,521.56 : 3,274.31 = 3,274.31 : x
2. Step 2: Convert to fraction form
   1,521.56/3,274.31 = 3,274.31/x
3. Step 3: Cross multiply
   1,521.56x = 3,274.31 × 3,274.31
4. Step 4: Simplify right side
   1,521.56x = 10,721,122.35
5. Step 5: Solve for x
   x = 10,721,122.35/1,521.56
6. Step 6: Final answer
   x = 7,046.13