Finding the Third Proportional to 32,412 and 70,009

Step by Step Solution

1. Step 1: Write the proportion equation
   32,412 : 70,009 = 70,009 : x
2. Step 2: Convert to fraction form
   32,412/70,009 = 70,009/x
3. Step 3: Cross multiply
   32,412x = 70,009 × 70,009
4. Step 4: Simplify right side
   32,412x = 4,901,260,081
5. Step 5: Solve for x
   x = 4,901,260,081/32,412
6. Step 6: Final answer
   x = 151,217.45