Finding the Third Proportional to 32,864 and 70,888

Step by Step Solution

1. Step 1: Write the proportion equation
   32,864 : 70,888 = 70,888 : x
2. Step 2: Convert to fraction form
   32,864/70,888 = 70,888/x
3. Step 3: Cross multiply
   32,864x = 70,888 × 70,888
4. Step 4: Simplify right side
   32,864x = 5,025,108,544
5. Step 5: Solve for x
   x = 5,025,108,544/32,864
6. Step 6: Final answer
   x = 152,906.18