Finding the Third Proportional to 1,539.84 and 3,635.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,539.84 : 3,635.72 = 3,635.72 : x
2. Step 2: Convert to fraction form
   1,539.84/3,635.72 = 3,635.72/x
3. Step 3: Cross multiply
   1,539.84x = 3,635.72 × 3,635.72
4. Step 4: Simplify right side
   1,539.84x = 13,218,450.83
5. Step 5: Solve for x
   x = 13,218,450.83/1,539.84
6. Step 6: Final answer
   x = 8,584.28