Finding the Third Proportional to 1,566.21 and 2,064.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.21 : 2,064.45 = 2,064.45 : x
2. Step 2: Convert to fraction form
   1,566.21/2,064.45 = 2,064.45/x
3. Step 3: Cross multiply
   1,566.21x = 2,064.45 × 2,064.45
4. Step 4: Simplify right side
   1,566.21x = 4,261,934.45
5. Step 5: Solve for x
   x = 4,261,934.45/1,566.21
6. Step 6: Final answer
   x = 2,721.18