Finding the Third Proportional to 2,606 and 3,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606 : 3,733.50 = 3,733.50 : x
2. Step 2: Convert to fraction form
   2,606/3,733.50 = 3,733.50/x
3. Step 3: Cross multiply
   2,606x = 3,733.50 × 3,733.50
4. Step 4: Simplify right side
   2,606x = 13,939,022.25
5. Step 5: Solve for x
   x = 13,939,022.25/2,606
6. Step 6: Final answer
   x = 5,348.82