Finding the Third Proportional to 2,827.72 and 4,348.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,827.72 : 4,348.37 = 4,348.37 : x
2. Step 2: Convert to fraction form
   2,827.72/4,348.37 = 4,348.37/x
3. Step 3: Cross multiply
   2,827.72x = 4,348.37 × 4,348.37
4. Step 4: Simplify right side
   2,827.72x = 18,908,331.17
5. Step 5: Solve for x
   x = 18,908,331.17/2,827.72
6. Step 6: Final answer
   x = 6,686.77