Finding the Third Proportional to 34,164 and 73,433

Step by Step Solution

1. Step 1: Write the proportion equation
   34,164 : 73,433 = 73,433 : x
2. Step 2: Convert to fraction form
   34,164/73,433 = 73,433/x
3. Step 3: Cross multiply
   34,164x = 73,433 × 73,433
4. Step 4: Simplify right side
   34,164x = 5,392,405,489
5. Step 5: Solve for x
   x = 5,392,405,489/34,164
6. Step 6: Final answer
   x = 157,838.82