Finding the Third Proportional to 32,435 and 70,405

Step by Step Solution

1. Step 1: Write the proportion equation
   32,435 : 70,405 = 70,405 : x
2. Step 2: Convert to fraction form
   32,435/70,405 = 70,405/x
3. Step 3: Cross multiply
   32,435x = 70,405 × 70,405
4. Step 4: Simplify right side
   32,435x = 4,956,864,025
5. Step 5: Solve for x
   x = 4,956,864,025/32,435
6. Step 6: Final answer
   x = 152,824.54