Finding the Third Proportional to 1,370 and 2,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,370 : 2,049.50 = 2,049.50 : x
2. Step 2: Convert to fraction form
   1,370/2,049.50 = 2,049.50/x
3. Step 3: Cross multiply
   1,370x = 2,049.50 × 2,049.50
4. Step 4: Simplify right side
   1,370x = 4,200,450.25
5. Step 5: Solve for x
   x = 4,200,450.25/1,370
6. Step 6: Final answer
   x = 3,066.02