Finding the Third Proportional to 1,145 and 1,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145 : 1,821.50 = 1,821.50 : x
2. Step 2: Convert to fraction form
   1,145/1,821.50 = 1,821.50/x
3. Step 3: Cross multiply
   1,145x = 1,821.50 × 1,821.50
4. Step 4: Simplify right side
   1,145x = 3,317,862.25
5. Step 5: Solve for x
   x = 3,317,862.25/1,145
6. Step 6: Final answer
   x = 2,897.70