Finding the Third Proportional to 33,026 and 72,613

Step by Step Solution

1. Step 1: Write the proportion equation
   33,026 : 72,613 = 72,613 : x
2. Step 2: Convert to fraction form
   33,026/72,613 = 72,613/x
3. Step 3: Cross multiply
   33,026x = 72,613 × 72,613
4. Step 4: Simplify right side
   33,026x = 5,272,647,769
5. Step 5: Solve for x
   x = 5,272,647,769/33,026
6. Step 6: Final answer
   x = 159,651.42