Finding the Third Proportional to 3,498.19 and 5,266.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,498.19 : 5,266.69 = 5,266.69 : x
2. Step 2: Convert to fraction form
   3,498.19/5,266.69 = 5,266.69/x
3. Step 3: Cross multiply
   3,498.19x = 5,266.69 × 5,266.69
4. Step 4: Simplify right side
   3,498.19x = 27,737,997.22
5. Step 5: Solve for x
   x = 27,737,997.22/3,498.19
6. Step 6: Final answer
   x = 7,929.25