Finding the Third Proportional to 2,619.84 and 3,674.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,619.84 : 3,674.11 = 3,674.11 : x
2. Step 2: Convert to fraction form
   2,619.84/3,674.11 = 3,674.11/x
3. Step 3: Cross multiply
   2,619.84x = 3,674.11 × 3,674.11
4. Step 4: Simplify right side
   2,619.84x = 13,499,079.70
5. Step 5: Solve for x
   x = 13,499,079.70/2,619.84
6. Step 6: Final answer
   x = 5,152.63