Finding the Third Proportional to 34,026 and 73,529

Step by Step Solution

1. Step 1: Write the proportion equation
   34,026 : 73,529 = 73,529 : x
2. Step 2: Convert to fraction form
   34,026/73,529 = 73,529/x
3. Step 3: Cross multiply
   34,026x = 73,529 × 73,529
4. Step 4: Simplify right side
   34,026x = 5,406,513,841
5. Step 5: Solve for x
   x = 5,406,513,841/34,026
6. Step 6: Final answer
   x = 158,893.61