Finding the Third Proportional to 34,164 and 72,864

Step by Step Solution

1. Step 1: Write the proportion equation
   34,164 : 72,864 = 72,864 : x
2. Step 2: Convert to fraction form
   34,164/72,864 = 72,864/x
3. Step 3: Cross multiply
   34,164x = 72,864 × 72,864
4. Step 4: Simplify right side
   34,164x = 5,309,162,496
5. Step 5: Solve for x
   x = 5,309,162,496/34,164
6. Step 6: Final answer
   x = 155,402.25