Finding the Third Proportional to 3,498.19 and 3,817.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,498.19 : 3,817.13 = 3,817.13 : x
2. Step 2: Convert to fraction form
   3,498.19/3,817.13 = 3,817.13/x
3. Step 3: Cross multiply
   3,498.19x = 3,817.13 × 3,817.13
4. Step 4: Simplify right side
   3,498.19x = 14,570,443.27
5. Step 5: Solve for x
   x = 14,570,443.27/3,498.19
6. Step 6: Final answer
   x = 4,165.14