Finding the Third Proportional to 12,796 and 19,505

Step by Step Solution

1. Step 1: Write the proportion equation
   12,796 : 19,505 = 19,505 : x
2. Step 2: Convert to fraction form
   12,796/19,505 = 19,505/x
3. Step 3: Cross multiply
   12,796x = 19,505 × 19,505
4. Step 4: Simplify right side
   12,796x = 380,445,025
5. Step 5: Solve for x
   x = 380,445,025/12,796
6. Step 6: Final answer
   x = 29,731.56