Finding the Third Proportional to 1,003.78 and 1,566.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.78 : 1,566.42 = 1,566.42 : x
2. Step 2: Convert to fraction form
   1,003.78/1,566.42 = 1,566.42/x
3. Step 3: Cross multiply
   1,003.78x = 1,566.42 × 1,566.42
4. Step 4: Simplify right side
   1,003.78x = 2,453,677.49
5. Step 5: Solve for x
   x = 2,453,677.49/1,003.78
6. Step 6: Final answer
   x = 2,444.43