Finding the Third Proportional to 4,545 and 5,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,545 : 5,830.50 = 5,830.50 : x
2. Step 2: Convert to fraction form
   4,545/5,830.50 = 5,830.50/x
3. Step 3: Cross multiply
   4,545x = 5,830.50 × 5,830.50
4. Step 4: Simplify right side
   4,545x = 33,994,730.25
5. Step 5: Solve for x
   x = 33,994,730.25/4,545
6. Step 6: Final answer
   x = 7,479.59