Finding the Third Proportional to 13,648.50 and 19,446.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648.50 : 19,446.75 = 19,446.75 : x
2. Step 2: Convert to fraction form
   13,648.50/19,446.75 = 19,446.75/x
3. Step 3: Cross multiply
   13,648.50x = 19,446.75 × 19,446.75
4. Step 4: Simplify right side
   13,648.50x = 378,176,085.56
5. Step 5: Solve for x
   x = 378,176,085.56/13,648.50
6. Step 6: Final answer
   x = 27,708.25