Finding the Third Proportional to 4,536 and 5,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,536 : 5,890.50 = 5,890.50 : x
2. Step 2: Convert to fraction form
   4,536/5,890.50 = 5,890.50/x
3. Step 3: Cross multiply
   4,536x = 5,890.50 × 5,890.50
4. Step 4: Simplify right side
   4,536x = 34,697,990.25
5. Step 5: Solve for x
   x = 34,697,990.25/4,536
6. Step 6: Final answer
   x = 7,649.47