Finding the Third Proportional to 34,165 and 73,434

Step by Step Solution

1. Step 1: Write the proportion equation
   34,165 : 73,434 = 73,434 : x
2. Step 2: Convert to fraction form
   34,165/73,434 = 73,434/x
3. Step 3: Cross multiply
   34,165x = 73,434 × 73,434
4. Step 4: Simplify right side
   34,165x = 5,392,552,356
5. Step 5: Solve for x
   x = 5,392,552,356/34,165
6. Step 6: Final answer
   x = 157,838.50