Finding the Third Proportional to 14,814 and 33,111

Step by Step Solution

1. Step 1: Write the proportion equation
   14,814 : 33,111 = 33,111 : x
2. Step 2: Convert to fraction form
   14,814/33,111 = 33,111/x
3. Step 3: Cross multiply
   14,814x = 33,111 × 33,111
4. Step 4: Simplify right side
   14,814x = 1,096,338,321
5. Step 5: Solve for x
   x = 1,096,338,321/14,814
6. Step 6: Final answer
   x = 74,006.91