Finding the Third Proportional to 2,076 and 4,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076 : 4,474.50 = 4,474.50 : x
2. Step 2: Convert to fraction form
   2,076/4,474.50 = 4,474.50/x
3. Step 3: Cross multiply
   2,076x = 4,474.50 × 4,474.50
4. Step 4: Simplify right side
   2,076x = 20,021,150.25
5. Step 5: Solve for x
   x = 20,021,150.25/2,076
6. Step 6: Final answer
   x = 9,644.10