Finding the Third Proportional to 13,046 and 19,819

Step by Step Solution

1. Step 1: Write the proportion equation
   13,046 : 19,819 = 19,819 : x
2. Step 2: Convert to fraction form
   13,046/19,819 = 19,819/x
3. Step 3: Cross multiply
   13,046x = 19,819 × 19,819
4. Step 4: Simplify right side
   13,046x = 392,792,761
5. Step 5: Solve for x
   x = 392,792,761/13,046
6. Step 6: Final answer
   x = 30,108.29