Finding the Third Proportional to 35,584.50 and 76,444

Step by Step Solution

1. Step 1: Write the proportion equation
   35,584.50 : 76,444 = 76,444 : x
2. Step 2: Convert to fraction form
   35,584.50/76,444 = 76,444/x
3. Step 3: Cross multiply
   35,584.50x = 76,444 × 76,444
4. Step 4: Simplify right side
   35,584.50x = 5,843,685,136
5. Step 5: Solve for x
   x = 5,843,685,136/35,584.50
6. Step 6: Final answer
   x = 164,219.96