Finding the Third Proportional to 32,850 and 71,444

Step by Step Solution

1. Step 1: Write the proportion equation
   32,850 : 71,444 = 71,444 : x
2. Step 2: Convert to fraction form
   32,850/71,444 = 71,444/x
3. Step 3: Cross multiply
   32,850x = 71,444 × 71,444
4. Step 4: Simplify right side
   32,850x = 5,104,245,136
5. Step 5: Solve for x
   x = 5,104,245,136/32,850
6. Step 6: Final answer
   x = 155,380.37