Finding the Third Proportional to 1,822.50 and 4,304.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.50 : 4,304.25 = 4,304.25 : x
2. Step 2: Convert to fraction form
   1,822.50/4,304.25 = 4,304.25/x
3. Step 3: Cross multiply
   1,822.50x = 4,304.25 × 4,304.25
4. Step 4: Simplify right side
   1,822.50x = 18,526,568.06
5. Step 5: Solve for x
   x = 18,526,568.06/1,822.50
6. Step 6: Final answer
   x = 10,165.47