Finding the Third Proportional to 32,008 and 49,036

Step by Step Solution

1. Step 1: Write the proportion equation
   32,008 : 49,036 = 49,036 : x
2. Step 2: Convert to fraction form
   32,008/49,036 = 49,036/x
3. Step 3: Cross multiply
   32,008x = 49,036 × 49,036
4. Step 4: Simplify right side
   32,008x = 2,404,529,296
5. Step 5: Solve for x
   x = 2,404,529,296/32,008
6. Step 6: Final answer
   x = 75,122.76