Finding the Third Proportional to 1,669.50 and 3,653.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,669.50 : 3,653.25 = 3,653.25 : x
2. Step 2: Convert to fraction form
   1,669.50/3,653.25 = 3,653.25/x
3. Step 3: Cross multiply
   1,669.50x = 3,653.25 × 3,653.25
4. Step 4: Simplify right side
   1,669.50x = 13,346,235.56
5. Step 5: Solve for x
   x = 13,346,235.56/1,669.50
6. Step 6: Final answer
   x = 7,994.15