Finding the Third Proportional to 1,538 and 2,406

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538 : 2,406 = 2,406 : x
2. Step 2: Convert to fraction form
   1,538/2,406 = 2,406/x
3. Step 3: Cross multiply
   1,538x = 2,406 × 2,406
4. Step 4: Simplify right side
   1,538x = 5,788,836
5. Step 5: Solve for x
   x = 5,788,836/1,538
6. Step 6: Final answer
   x = 3,763.87