Finding the Third Proportional to 2,022.50 and 4,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022.50 : 4,406.50 = 4,406.50 : x
2. Step 2: Convert to fraction form
   2,022.50/4,406.50 = 4,406.50/x
3. Step 3: Cross multiply
   2,022.50x = 4,406.50 × 4,406.50
4. Step 4: Simplify right side
   2,022.50x = 19,417,242.25
5. Step 5: Solve for x
   x = 19,417,242.25/2,022.50
6. Step 6: Final answer
   x = 9,600.61