Finding the Third Proportional to 1,822 and 2,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822 : 2,422.50 = 2,422.50 : x
2. Step 2: Convert to fraction form
   1,822/2,422.50 = 2,422.50/x
3. Step 3: Cross multiply
   1,822x = 2,422.50 × 2,422.50
4. Step 4: Simplify right side
   1,822x = 5,868,506.25
5. Step 5: Solve for x
   x = 5,868,506.25/1,822
6. Step 6: Final answer
   x = 3,220.91