Finding the Third Proportional to 2,367.84 and 3,714.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,367.84 : 3,714.61 = 3,714.61 : x
2. Step 2: Convert to fraction form
   2,367.84/3,714.61 = 3,714.61/x
3. Step 3: Cross multiply
   2,367.84x = 3,714.61 × 3,714.61
4. Step 4: Simplify right side
   2,367.84x = 13,798,322.81
5. Step 5: Solve for x
   x = 13,798,322.81/2,367.84
6. Step 6: Final answer
   x = 5,827.38