Finding the Third Proportional to 13,648.50 and 26,439.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648.50 : 26,439.75 = 26,439.75 : x
2. Step 2: Convert to fraction form
   13,648.50/26,439.75 = 26,439.75/x
3. Step 3: Cross multiply
   13,648.50x = 26,439.75 × 26,439.75
4. Step 4: Simplify right side
   13,648.50x = 699,060,380.06
5. Step 5: Solve for x
   x = 699,060,380.06/13,648.50
6. Step 6: Final answer
   x = 51,218.84