Finding the Third Proportional to 34,544 and 71,546

Step by Step Solution

1. Step 1: Write the proportion equation
   34,544 : 71,546 = 71,546 : x
2. Step 2: Convert to fraction form
   34,544/71,546 = 71,546/x
3. Step 3: Cross multiply
   34,544x = 71,546 × 71,546
4. Step 4: Simplify right side
   34,544x = 5,118,830,116
5. Step 5: Solve for x
   x = 5,118,830,116/34,544
6. Step 6: Final answer
   x = 148,182.90