Finding the Third Proportional to 1,566.57 and 3,264.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.57 : 3,264.48 = 3,264.48 : x
2. Step 2: Convert to fraction form
   1,566.57/3,264.48 = 3,264.48/x
3. Step 3: Cross multiply
   1,566.57x = 3,264.48 × 3,264.48
4. Step 4: Simplify right side
   1,566.57x = 10,656,842.29
5. Step 5: Solve for x
   x = 10,656,842.29/1,566.57
6. Step 6: Final answer
   x = 6,802.67