Finding the Third Proportional to 34,546 and 73,832

Step by Step Solution

1. Step 1: Write the proportion equation
   34,546 : 73,832 = 73,832 : x
2. Step 2: Convert to fraction form
   34,546/73,832 = 73,832/x
3. Step 3: Cross multiply
   34,546x = 73,832 × 73,832
4. Step 4: Simplify right side
   34,546x = 5,451,164,224
5. Step 5: Solve for x
   x = 5,451,164,224/34,546
6. Step 6: Final answer
   x = 157,794.37