Finding the Third Proportional to 2,339 and 5,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,339 : 5,414.50 = 5,414.50 : x
2. Step 2: Convert to fraction form
   2,339/5,414.50 = 5,414.50/x
3. Step 3: Cross multiply
   2,339x = 5,414.50 × 5,414.50
4. Step 4: Simplify right side
   2,339x = 29,316,810.25
5. Step 5: Solve for x
   x = 29,316,810.25/2,339
6. Step 6: Final answer
   x = 12,533.91