Finding the Third Proportional to 32,084 and 70,368

Step by Step Solution

1. Step 1: Write the proportion equation
   32,084 : 70,368 = 70,368 : x
2. Step 2: Convert to fraction form
   32,084/70,368 = 70,368/x
3. Step 3: Cross multiply
   32,084x = 70,368 × 70,368
4. Step 4: Simplify right side
   32,084x = 4,951,655,424
5. Step 5: Solve for x
   x = 4,951,655,424/32,084
6. Step 6: Final answer
   x = 154,334.10