Finding the Third Proportional to 32,078 and 70,356

Step by Step Solution

1. Step 1: Write the proportion equation
   32,078 : 70,356 = 70,356 : x
2. Step 2: Convert to fraction form
   32,078/70,356 = 70,356/x
3. Step 3: Cross multiply
   32,078x = 70,356 × 70,356
4. Step 4: Simplify right side
   32,078x = 4,949,966,736
5. Step 5: Solve for x
   x = 4,949,966,736/32,078
6. Step 6: Final answer
   x = 154,310.33