Finding the Third Proportional to 2,085 and 3,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085 : 3,064.50 = 3,064.50 : x
2. Step 2: Convert to fraction form
   2,085/3,064.50 = 3,064.50/x
3. Step 3: Cross multiply
   2,085x = 3,064.50 × 3,064.50
4. Step 4: Simplify right side
   2,085x = 9,391,160.25
5. Step 5: Solve for x
   x = 9,391,160.25/2,085
6. Step 6: Final answer
   x = 4,504.15