Finding the Third Proportional to 1,822.50 and 2,883.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.50 : 2,883.94 = 2,883.94 : x
2. Step 2: Convert to fraction form
   1,822.50/2,883.94 = 2,883.94/x
3. Step 3: Cross multiply
   1,822.50x = 2,883.94 × 2,883.94
4. Step 4: Simplify right side
   1,822.50x = 8,317,095.50
5. Step 5: Solve for x
   x = 8,317,095.50/1,822.50
6. Step 6: Final answer
   x = 4,563.56