Finding the Third Proportional to 5,085 and 5,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,085 : 5,815.50 = 5,815.50 : x
2. Step 2: Convert to fraction form
   5,085/5,815.50 = 5,815.50/x
3. Step 3: Cross multiply
   5,085x = 5,815.50 × 5,815.50
4. Step 4: Simplify right side
   5,085x = 33,820,040.25
5. Step 5: Solve for x
   x = 33,820,040.25/5,085
6. Step 6: Final answer
   x = 6,650.94