Finding the Third Proportional to 3,619 and 5,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,619 : 5,300.50 = 5,300.50 : x
2. Step 2: Convert to fraction form
   3,619/5,300.50 = 5,300.50/x
3. Step 3: Cross multiply
   3,619x = 5,300.50 × 5,300.50
4. Step 4: Simplify right side
   3,619x = 28,095,300.25
5. Step 5: Solve for x
   x = 28,095,300.25/3,619
6. Step 6: Final answer
   x = 7,763.28