Finding the Third Proportional to 1,609.73 and 3,527.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.73 : 3,527.02 = 3,527.02 : x
2. Step 2: Convert to fraction form
   1,609.73/3,527.02 = 3,527.02/x
3. Step 3: Cross multiply
   1,609.73x = 3,527.02 × 3,527.02
4. Step 4: Simplify right side
   1,609.73x = 12,439,839.22
5. Step 5: Solve for x
   x = 12,439,839.22/1,609.73
6. Step 6: Final answer
   x = 7,727.88