Finding the Third Proportional to 1,623.16 and 3,577.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,623.16 : 3,577.37 = 3,577.37 : x
2. Step 2: Convert to fraction form
   1,623.16/3,577.37 = 3,577.37/x
3. Step 3: Cross multiply
   1,623.16x = 3,577.37 × 3,577.37
4. Step 4: Simplify right side
   1,623.16x = 12,797,562.98
5. Step 5: Solve for x
   x = 12,797,562.98/1,623.16
6. Step 6: Final answer
   x = 7,884.33