Finding the Third Proportional to 1,283.25 and 1,835.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,283.25 : 1,835.06 = 1,835.06 : x
2. Step 2: Convert to fraction form
   1,283.25/1,835.06 = 1,835.06/x
3. Step 3: Cross multiply
   1,283.25x = 1,835.06 × 1,835.06
4. Step 4: Simplify right side
   1,283.25x = 3,367,454.38
5. Step 5: Solve for x
   x = 3,367,454.38/1,283.25
6. Step 6: Final answer
   x = 2,624.16