Finding the Third Proportional to 977.50 and 2,082

Step by Step Solution

1. Step 1: Write the proportion equation
   977.50 : 2,082 = 2,082 : x
2. Step 2: Convert to fraction form
   977.50/2,082 = 2,082/x
3. Step 3: Cross multiply
   977.50x = 2,082 × 2,082
4. Step 4: Simplify right side
   977.50x = 4,334,724
5. Step 5: Solve for x
   x = 4,334,724/977.50
6. Step 6: Final answer
   x = 4,434.50