Finding the Third Proportional to 5,054.91 and 7,314.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,054.91 : 7,314.05 = 7,314.05 : x
2. Step 2: Convert to fraction form
   5,054.91/7,314.05 = 7,314.05/x
3. Step 3: Cross multiply
   5,054.91x = 7,314.05 × 7,314.05
4. Step 4: Simplify right side
   5,054.91x = 53,495,281.69
5. Step 5: Solve for x
   x = 53,495,281.69/5,054.91
6. Step 6: Final answer
   x = 10,582.84