Finding the Third Proportional to 32,235 and 70,005

Step by Step Solution

1. Step 1: Write the proportion equation
   32,235 : 70,005 = 70,005 : x
2. Step 2: Convert to fraction form
   32,235/70,005 = 70,005/x
3. Step 3: Cross multiply
   32,235x = 70,005 × 70,005
4. Step 4: Simplify right side
   32,235x = 4,900,700,025
5. Step 5: Solve for x
   x = 4,900,700,025/32,235
6. Step 6: Final answer
   x = 152,030.40