Finding the Third Proportional to 13,478 and 20,404.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,478 : 20,404.25 = 20,404.25 : x
2. Step 2: Convert to fraction form
   13,478/20,404.25 = 20,404.25/x
3. Step 3: Cross multiply
   13,478x = 20,404.25 × 20,404.25
4. Step 4: Simplify right side
   13,478x = 416,333,418.06
5. Step 5: Solve for x
   x = 416,333,418.06/13,478
6. Step 6: Final answer
   x = 30,889.85