Finding the Third Proportional to 13,538.25 and 20,307.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,538.25 : 20,307.38 = 20,307.38 : x
2. Step 2: Convert to fraction form
   13,538.25/20,307.38 = 20,307.38/x
3. Step 3: Cross multiply
   13,538.25x = 20,307.38 × 20,307.38
4. Step 4: Simplify right side
   13,538.25x = 412,389,479.39
5. Step 5: Solve for x
   x = 412,389,479.39/13,538.25
6. Step 6: Final answer
   x = 30,461.06