Finding the Third Proportional to 12,538.69 and 19,477.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,538.69 : 19,477.13 = 19,477.13 : x
2. Step 2: Convert to fraction form
   12,538.69/19,477.13 = 19,477.13/x
3. Step 3: Cross multiply
   12,538.69x = 19,477.13 × 19,477.13
4. Step 4: Simplify right side
   12,538.69x = 379,358,398.27
5. Step 5: Solve for x
   x = 379,358,398.27/12,538.69
6. Step 6: Final answer
   x = 30,255.03