Finding the Third Proportional to 1,502 and 2,108

Step by Step Solution

1. Step 1: Write the proportion equation
   1,502 : 2,108 = 2,108 : x
2. Step 2: Convert to fraction form
   1,502/2,108 = 2,108/x
3. Step 3: Cross multiply
   1,502x = 2,108 × 2,108
4. Step 4: Simplify right side
   1,502x = 4,443,664
5. Step 5: Solve for x
   x = 4,443,664/1,502
6. Step 6: Final answer
   x = 2,958.50