Finding the Third Proportional to 5,205 and 7,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,205 : 7,483.50 = 7,483.50 : x
2. Step 2: Convert to fraction form
   5,205/7,483.50 = 7,483.50/x
3. Step 3: Cross multiply
   5,205x = 7,483.50 × 7,483.50
4. Step 4: Simplify right side
   5,205x = 56,002,772.25
5. Step 5: Solve for x
   x = 56,002,772.25/5,205
6. Step 6: Final answer
   x = 10,759.42