Finding the Third Proportional to 32,438 and 50,009

Step by Step Solution

1. Step 1: Write the proportion equation
   32,438 : 50,009 = 50,009 : x
2. Step 2: Convert to fraction form
   32,438/50,009 = 50,009/x
3. Step 3: Cross multiply
   32,438x = 50,009 × 50,009
4. Step 4: Simplify right side
   32,438x = 2,500,900,081
5. Step 5: Solve for x
   x = 2,500,900,081/32,438
6. Step 6: Final answer
   x = 77,097.85