Finding the Third Proportional to 1,023.05 and 1,566.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.05 : 1,566.42 = 1,566.42 : x
2. Step 2: Convert to fraction form
   1,023.05/1,566.42 = 1,566.42/x
3. Step 3: Cross multiply
   1,023.05x = 1,566.42 × 1,566.42
4. Step 4: Simplify right side
   1,023.05x = 2,453,677.49
5. Step 5: Solve for x
   x = 2,453,677.49/1,023.05
6. Step 6: Final answer
   x = 2,398.40