Finding the Third Proportional to 977.50 and 2,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   977.50 : 2,022.50 = 2,022.50 : x
2. Step 2: Convert to fraction form
   977.50/2,022.50 = 2,022.50/x
3. Step 3: Cross multiply
   977.50x = 2,022.50 × 2,022.50
4. Step 4: Simplify right side
   977.50x = 4,090,506.25
5. Step 5: Solve for x
   x = 4,090,506.25/977.50
6. Step 6: Final answer
   x = 4,184.66