Finding the Third Proportional to 34,185 and 73,380

Step by Step Solution

1. Step 1: Write the proportion equation
   34,185 : 73,380 = 73,380 : x
2. Step 2: Convert to fraction form
   34,185/73,380 = 73,380/x
3. Step 3: Cross multiply
   34,185x = 73,380 × 73,380
4. Step 4: Simplify right side
   34,185x = 5,384,624,400
5. Step 5: Solve for x
   x = 5,384,624,400/34,185
6. Step 6: Final answer
   x = 157,514.24