Finding the Third Proportional to 1,962.50 and 4,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,962.50 : 4,082.50 = 4,082.50 : x
2. Step 2: Convert to fraction form
   1,962.50/4,082.50 = 4,082.50/x
3. Step 3: Cross multiply
   1,962.50x = 4,082.50 × 4,082.50
4. Step 4: Simplify right side
   1,962.50x = 16,666,806.25
5. Step 5: Solve for x
   x = 16,666,806.25/1,962.50
6. Step 6: Final answer
   x = 8,492.64