Finding the Third Proportional to 33,078 and 71,343

Step by Step Solution

1. Step 1: Write the proportion equation
   33,078 : 71,343 = 71,343 : x
2. Step 2: Convert to fraction form
   33,078/71,343 = 71,343/x
3. Step 3: Cross multiply
   33,078x = 71,343 × 71,343
4. Step 4: Simplify right side
   33,078x = 5,089,823,649
5. Step 5: Solve for x
   x = 5,089,823,649/33,078
6. Step 6: Final answer
   x = 153,873.38