Finding the Third Proportional to 1,678.22 and 2,532.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.22 : 2,532.52 = 2,532.52 : x
2. Step 2: Convert to fraction form
   1,678.22/2,532.52 = 2,532.52/x
3. Step 3: Cross multiply
   1,678.22x = 2,532.52 × 2,532.52
4. Step 4: Simplify right side
   1,678.22x = 6,413,635.39
5. Step 5: Solve for x
   x = 6,413,635.39/1,678.22
6. Step 6: Final answer
   x = 3,821.69