Finding the Third Proportional to 34,330 and 70,864

Step by Step Solution

1. Step 1: Write the proportion equation
   34,330 : 70,864 = 70,864 : x
2. Step 2: Convert to fraction form
   34,330/70,864 = 70,864/x
3. Step 3: Cross multiply
   34,330x = 70,864 × 70,864
4. Step 4: Simplify right side
   34,330x = 5,021,706,496
5. Step 5: Solve for x
   x = 5,021,706,496/34,330
6. Step 6: Final answer
   x = 146,277.50