Finding the Third Proportional to 34,344 and 73,152

Step by Step Solution

1. Step 1: Write the proportion equation
   34,344 : 73,152 = 73,152 : x
2. Step 2: Convert to fraction form
   34,344/73,152 = 73,152/x
3. Step 3: Cross multiply
   34,344x = 73,152 × 73,152
4. Step 4: Simplify right side
   34,344x = 5,351,215,104
5. Step 5: Solve for x
   x = 5,351,215,104/34,344
6. Step 6: Final answer
   x = 155,812.23