Finding the Third Proportional to 3,836.74 and 7,489.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.74 : 7,489.34 = 7,489.34 : x
2. Step 2: Convert to fraction form
   3,836.74/7,489.34 = 7,489.34/x
3. Step 3: Cross multiply
   3,836.74x = 7,489.34 × 7,489.34
4. Step 4: Simplify right side
   3,836.74x = 56,090,152.78
5. Step 5: Solve for x
   x = 56,090,152.78/3,836.74
6. Step 6: Final answer
   x = 14,619.21