Finding the Third Proportional to 1,412 and 2,108

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412 : 2,108 = 2,108 : x
2. Step 2: Convert to fraction form
   1,412/2,108 = 2,108/x
3. Step 3: Cross multiply
   1,412x = 2,108 × 2,108
4. Step 4: Simplify right side
   1,412x = 4,443,664
5. Step 5: Solve for x
   x = 4,443,664/1,412
6. Step 6: Final answer
   x = 3,147.07