Finding the Third Proportional to 2,674.13 and 5,294.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,674.13 : 5,294.81 = 5,294.81 : x
2. Step 2: Convert to fraction form
   2,674.13/5,294.81 = 5,294.81/x
3. Step 3: Cross multiply
   2,674.13x = 5,294.81 × 5,294.81
4. Step 4: Simplify right side
   2,674.13x = 28,035,039.41
5. Step 5: Solve for x
   x = 28,035,039.41/2,674.13
6. Step 6: Final answer
   x = 10,483.82