Finding the Third Proportional to 1,674.56 and 3,549.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,674.56 : 3,549.94 = 3,549.94 : x
2. Step 2: Convert to fraction form
   1,674.56/3,549.94 = 3,549.94/x
3. Step 3: Cross multiply
   1,674.56x = 3,549.94 × 3,549.94
4. Step 4: Simplify right side
   1,674.56x = 12,602,056.25
5. Step 5: Solve for x
   x = 12,602,056.25/1,674.56
6. Step 6: Final answer
   x = 7,525.58