Finding the Third Proportional to 900 and 1,857.38

Step by Step Solution

1. Step 1: Write the proportion equation
   900 : 1,857.38 = 1,857.38 : x
2. Step 2: Convert to fraction form
   900/1,857.38 = 1,857.38/x
3. Step 3: Cross multiply
   900x = 1,857.38 × 1,857.38
4. Step 4: Simplify right side
   900x = 3,449,841.89
5. Step 5: Solve for x
   x = 3,449,841.89/900
6. Step 6: Final answer
   x = 3,833.16