Finding the Third Proportional to 33,048 and 47,111

Step by Step Solution

1. Step 1: Write the proportion equation
   33,048 : 47,111 = 47,111 : x
2. Step 2: Convert to fraction form
   33,048/47,111 = 47,111/x
3. Step 3: Cross multiply
   33,048x = 47,111 × 47,111
4. Step 4: Simplify right side
   33,048x = 2,219,446,321
5. Step 5: Solve for x
   x = 2,219,446,321/33,048
6. Step 6: Final answer
   x = 67,158.26