Finding the Third Proportional to 1,822.50 and 4,282.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.50 : 4,282.88 = 4,282.88 : x
2. Step 2: Convert to fraction form
   1,822.50/4,282.88 = 4,282.88/x
3. Step 3: Cross multiply
   1,822.50x = 4,282.88 × 4,282.88
4. Step 4: Simplify right side
   1,822.50x = 18,343,018.27
5. Step 5: Solve for x
   x = 18,343,018.27/1,822.50
6. Step 6: Final answer
   x = 10,064.76