Finding the Third Proportional to 6,300 and 7,339.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,300 : 7,339.50 = 7,339.50 : x
2. Step 2: Convert to fraction form
   6,300/7,339.50 = 7,339.50/x
3. Step 3: Cross multiply
   6,300x = 7,339.50 × 7,339.50
4. Step 4: Simplify right side
   6,300x = 53,868,260.25
5. Step 5: Solve for x
   x = 53,868,260.25/6,300
6. Step 6: Final answer
   x = 8,550.52