Finding the Third Proportional to 35,736 and 72,444

Step by Step Solution

1. Step 1: Write the proportion equation
   35,736 : 72,444 = 72,444 : x
2. Step 2: Convert to fraction form
   35,736/72,444 = 72,444/x
3. Step 3: Cross multiply
   35,736x = 72,444 × 72,444
4. Step 4: Simplify right side
   35,736x = 5,248,133,136
5. Step 5: Solve for x
   x = 5,248,133,136/35,736
6. Step 6: Final answer
   x = 146,858.44