Finding the Third Proportional to 34,194 and 71,843

Step by Step Solution

1. Step 1: Write the proportion equation
   34,194 : 71,843 = 71,843 : x
2. Step 2: Convert to fraction form
   34,194/71,843 = 71,843/x
3. Step 3: Cross multiply
   34,194x = 71,843 × 71,843
4. Step 4: Simplify right side
   34,194x = 5,161,416,649
5. Step 5: Solve for x
   x = 5,161,416,649/34,194
6. Step 6: Final answer
   x = 150,945.10