Finding the Third Proportional to 1,611.06 and 3,527.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,611.06 : 3,527.53 = 3,527.53 : x
2. Step 2: Convert to fraction form
   1,611.06/3,527.53 = 3,527.53/x
3. Step 3: Cross multiply
   1,611.06x = 3,527.53 × 3,527.53
4. Step 4: Simplify right side
   1,611.06x = 12,443,497.39
5. Step 5: Solve for x
   x = 12,443,497.39/1,611.06
6. Step 6: Final answer
   x = 7,723.79