Finding the Third Proportional to 2,498.34 and 5,374.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,498.34 : 5,374.83 = 5,374.83 : x
2. Step 2: Convert to fraction form
   2,498.34/5,374.83 = 5,374.83/x
3. Step 3: Cross multiply
   2,498.34x = 5,374.83 × 5,374.83
4. Step 4: Simplify right side
   2,498.34x = 28,888,777.37
5. Step 5: Solve for x
   x = 28,888,777.37/2,498.34
6. Step 6: Final answer
   x = 11,563.17