Finding the Third Proportional to 1,146.50 and 1,801.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.50 : 1,801.25 = 1,801.25 : x
2. Step 2: Convert to fraction form
   1,146.50/1,801.25 = 1,801.25/x
3. Step 3: Cross multiply
   1,146.50x = 1,801.25 × 1,801.25
4. Step 4: Simplify right side
   1,146.50x = 3,244,501.56
5. Step 5: Solve for x
   x = 3,244,501.56/1,146.50
6. Step 6: Final answer
   x = 2,829.92