Finding the Third Proportional to 34,040 and 73,546

Step by Step Solution

1. Step 1: Write the proportion equation
   34,040 : 73,546 = 73,546 : x
2. Step 2: Convert to fraction form
   34,040/73,546 = 73,546/x
3. Step 3: Cross multiply
   34,040x = 73,546 × 73,546
4. Step 4: Simplify right side
   34,040x = 5,409,014,116
5. Step 5: Solve for x
   x = 5,409,014,116/34,040
6. Step 6: Final answer
   x = 158,901.71