Finding the Third Proportional to 13,884.75 and 18,896.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,884.75 : 18,896.63 = 18,896.63 : x
2. Step 2: Convert to fraction form
   13,884.75/18,896.63 = 18,896.63/x
3. Step 3: Cross multiply
   13,884.75x = 18,896.63 × 18,896.63
4. Step 4: Simplify right side
   13,884.75x = 357,082,436.39
5. Step 5: Solve for x
   x = 357,082,436.39/13,884.75
6. Step 6: Final answer
   x = 25,717.60