Finding the Third Proportional to 1,632.94 and 3,578.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,632.94 : 3,578.63 = 3,578.63 : x
2. Step 2: Convert to fraction form
   1,632.94/3,578.63 = 3,578.63/x
3. Step 3: Cross multiply
   1,632.94x = 3,578.63 × 3,578.63
4. Step 4: Simplify right side
   1,632.94x = 12,806,556.89
5. Step 5: Solve for x
   x = 12,806,556.89/1,632.94
6. Step 6: Final answer
   x = 7,842.65