Finding the Third Proportional to 3,054.38 and 5,054.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,054.38 : 5,054.63 = 5,054.63 : x
2. Step 2: Convert to fraction form
   3,054.38/5,054.63 = 5,054.63/x
3. Step 3: Cross multiply
   3,054.38x = 5,054.63 × 5,054.63
4. Step 4: Simplify right side
   3,054.38x = 25,549,233.89
5. Step 5: Solve for x
   x = 25,549,233.89/3,054.38
6. Step 6: Final answer
   x = 8,364.80