Finding the Third Proportional to 34,124 and 73,864

Step by Step Solution

1. Step 1: Write the proportion equation
   34,124 : 73,864 = 73,864 : x
2. Step 2: Convert to fraction form
   34,124/73,864 = 73,864/x
3. Step 3: Cross multiply
   34,124x = 73,864 × 73,864
4. Step 4: Simplify right side
   34,124x = 5,455,890,496
5. Step 5: Solve for x
   x = 5,455,890,496/34,124
6. Step 6: Final answer
   x = 159,884.26