Finding the Third Proportional to 1,406 and 2,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406 : 2,690.50 = 2,690.50 : x
2. Step 2: Convert to fraction form
   1,406/2,690.50 = 2,690.50/x
3. Step 3: Cross multiply
   1,406x = 2,690.50 × 2,690.50
4. Step 4: Simplify right side
   1,406x = 7,238,790.25
5. Step 5: Solve for x
   x = 7,238,790.25/1,406
6. Step 6: Final answer
   x = 5,148.50