Finding the Third Proportional to 13,106 and 30,833

Step by Step Solution

1. Step 1: Write the proportion equation
   13,106 : 30,833 = 30,833 : x
2. Step 2: Convert to fraction form
   13,106/30,833 = 30,833/x
3. Step 3: Cross multiply
   13,106x = 30,833 × 30,833
4. Step 4: Simplify right side
   13,106x = 950,673,889
5. Step 5: Solve for x
   x = 950,673,889/13,106
6. Step 6: Final answer
   x = 72,537.30