Finding the Third Proportional to 34,405 and 72,546

Step by Step Solution

1. Step 1: Write the proportion equation
   34,405 : 72,546 = 72,546 : x
2. Step 2: Convert to fraction form
   34,405/72,546 = 72,546/x
3. Step 3: Cross multiply
   34,405x = 72,546 × 72,546
4. Step 4: Simplify right side
   34,405x = 5,262,922,116
5. Step 5: Solve for x
   x = 5,262,922,116/34,405
6. Step 6: Final answer
   x = 152,969.69