Finding the Third Proportional to 1,962.75 and 4,085.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,962.75 : 4,085.25 = 4,085.25 : x
2. Step 2: Convert to fraction form
   1,962.75/4,085.25 = 4,085.25/x
3. Step 3: Cross multiply
   1,962.75x = 4,085.25 × 4,085.25
4. Step 4: Simplify right side
   1,962.75x = 16,689,267.56
5. Step 5: Solve for x
   x = 16,689,267.56/1,962.75
6. Step 6: Final answer
   x = 8,503.00