Finding the Third Proportional to 2,498.34 and 3,869.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.34 : 3,869.02 = 3,869.02 : x
2. Step 2: Convert to fraction form
   2,498.34/3,869.02 = 3,869.02/x
3. Step 3: Cross multiply
   2,498.34x = 3,869.02 × 3,869.02
4. Step 4: Simplify right side
   2,498.34x = 14,969,281.91
5. Step 5: Solve for x
   x = 14,969,281.91/2,498.34
6. Step 6: Final answer
   x = 5,991.68