Finding the Third Proportional to 1,566.42 and 2,204.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.42 : 2,204.51 = 2,204.51 : x
2. Step 2: Convert to fraction form
   1,566.42/2,204.51 = 2,204.51/x
3. Step 3: Cross multiply
   1,566.42x = 2,204.51 × 2,204.51
4. Step 4: Simplify right side
   1,566.42x = 4,859,854.70
5. Step 5: Solve for x
   x = 4,859,854.70/1,566.42
6. Step 6: Final answer
   x = 3,102.52