Finding the Third Proportional to 32,288 and 70,356

Step by Step Solution

1. Step 1: Write the proportion equation
   32,288 : 70,356 = 70,356 : x
2. Step 2: Convert to fraction form
   32,288/70,356 = 70,356/x
3. Step 3: Cross multiply
   32,288x = 70,356 × 70,356
4. Step 4: Simplify right side
   32,288x = 4,949,966,736
5. Step 5: Solve for x
   x = 4,949,966,736/32,288
6. Step 6: Final answer
   x = 153,306.70