Finding the Third Proportional to 33,026 and 71,884

Step by Step Solution

1. Step 1: Write the proportion equation
   33,026 : 71,884 = 71,884 : x
2. Step 2: Convert to fraction form
   33,026/71,884 = 71,884/x
3. Step 3: Cross multiply
   33,026x = 71,884 × 71,884
4. Step 4: Simplify right side
   33,026x = 5,167,309,456
5. Step 5: Solve for x
   x = 5,167,309,456/33,026
6. Step 6: Final answer
   x = 156,461.86