Finding the Third Proportional to 2,022.50 and 3,061.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022.50 : 3,061.75 = 3,061.75 : x
2. Step 2: Convert to fraction form
   2,022.50/3,061.75 = 3,061.75/x
3. Step 3: Cross multiply
   2,022.50x = 3,061.75 × 3,061.75
4. Step 4: Simplify right side
   2,022.50x = 9,374,313.06
5. Step 5: Solve for x
   x = 9,374,313.06/2,022.50
6. Step 6: Final answer
   x = 4,635.01