Finding the Third Proportional to 13,557.75 and 20,264.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,557.75 : 20,264.25 = 20,264.25 : x
2. Step 2: Convert to fraction form
   13,557.75/20,264.25 = 20,264.25/x
3. Step 3: Cross multiply
   13,557.75x = 20,264.25 × 20,264.25
4. Step 4: Simplify right side
   13,557.75x = 410,639,828.06
5. Step 5: Solve for x
   x = 410,639,828.06/13,557.75
6. Step 6: Final answer
   x = 30,288.20