Finding the Third Proportional to 1,222 and 1,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222 : 1,947.50 = 1,947.50 : x
2. Step 2: Convert to fraction form
   1,222/1,947.50 = 1,947.50/x
3. Step 3: Cross multiply
   1,222x = 1,947.50 × 1,947.50
4. Step 4: Simplify right side
   1,222x = 3,792,756.25
5. Step 5: Solve for x
   x = 3,792,756.25/1,222
6. Step 6: Final answer
   x = 3,103.73