Finding the Third Proportional to 2,442.34 and 3,784.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,442.34 : 3,784.17 = 3,784.17 : x
2. Step 2: Convert to fraction form
   2,442.34/3,784.17 = 3,784.17/x
3. Step 3: Cross multiply
   2,442.34x = 3,784.17 × 3,784.17
4. Step 4: Simplify right side
   2,442.34x = 14,319,912.43
5. Step 5: Solve for x
   x = 14,319,912.43/2,442.34
6. Step 6: Final answer
   x = 5,863.19