Finding the Third Proportional to 2,506.22 and 5,348.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.22 : 5,348.11 = 5,348.11 : x
2. Step 2: Convert to fraction form
   2,506.22/5,348.11 = 5,348.11/x
3. Step 3: Cross multiply
   2,506.22x = 5,348.11 × 5,348.11
4. Step 4: Simplify right side
   2,506.22x = 28,602,273.89
5. Step 5: Solve for x
   x = 28,602,273.89/2,506.22
6. Step 6: Final answer
   x = 11,412.52