Finding the Third Proportional to 1,669.78 and 2,538.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,669.78 : 2,538.42 = 2,538.42 : x
2. Step 2: Convert to fraction form
   1,669.78/2,538.42 = 2,538.42/x
3. Step 3: Cross multiply
   1,669.78x = 2,538.42 × 2,538.42
4. Step 4: Simplify right side
   1,669.78x = 6,443,585.62
5. Step 5: Solve for x
   x = 6,443,585.62/1,669.78
6. Step 6: Final answer
   x = 3,858.94