Finding the Third Proportional to 1,643 and 3,549.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,643 : 3,549.25 = 3,549.25 : x
2. Step 2: Convert to fraction form
   1,643/3,549.25 = 3,549.25/x
3. Step 3: Cross multiply
   1,643x = 3,549.25 × 3,549.25
4. Step 4: Simplify right side
   1,643x = 12,597,175.56
5. Step 5: Solve for x
   x = 12,597,175.56/1,643
6. Step 6: Final answer
   x = 7,667.18