Finding the Third Proportional to 34,189 and 73,845

Step by Step Solution

1. Step 1: Write the proportion equation
   34,189 : 73,845 = 73,845 : x
2. Step 2: Convert to fraction form
   34,189/73,845 = 73,845/x
3. Step 3: Cross multiply
   34,189x = 73,845 × 73,845
4. Step 4: Simplify right side
   34,189x = 5,453,084,025
5. Step 5: Solve for x
   x = 5,453,084,025/34,189
6. Step 6: Final answer
   x = 159,498.20