Finding the Third Proportional to 1,262 and 1,845

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262 : 1,845 = 1,845 : x
2. Step 2: Convert to fraction form
   1,262/1,845 = 1,845/x
3. Step 3: Cross multiply
   1,262x = 1,845 × 1,845
4. Step 4: Simplify right side
   1,262x = 3,404,025
5. Step 5: Solve for x
   x = 3,404,025/1,262
6. Step 6: Final answer
   x = 2,697.33