Finding the Third Proportional to 13,544.50 and 21,628.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,544.50 : 21,628.75 = 21,628.75 : x
2. Step 2: Convert to fraction form
   13,544.50/21,628.75 = 21,628.75/x
3. Step 3: Cross multiply
   13,544.50x = 21,628.75 × 21,628.75
4. Step 4: Simplify right side
   13,544.50x = 467,802,826.56
5. Step 5: Solve for x
   x = 467,802,826.56/13,544.50
6. Step 6: Final answer
   x = 34,538.21