Finding the Third Proportional to 1,584.56 and 3,472.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.56 : 3,472.88 = 3,472.88 : x
2. Step 2: Convert to fraction form
   1,584.56/3,472.88 = 3,472.88/x
3. Step 3: Cross multiply
   1,584.56x = 3,472.88 × 3,472.88
4. Step 4: Simplify right side
   1,584.56x = 12,060,860.77
5. Step 5: Solve for x
   x = 12,060,860.77/1,584.56
6. Step 6: Final answer
   x = 7,611.48