Finding the Third Proportional to 32,180 and 50,326

Step by Step Solution

1. Step 1: Write the proportion equation
   32,180 : 50,326 = 50,326 : x
2. Step 2: Convert to fraction form
   32,180/50,326 = 50,326/x
3. Step 3: Cross multiply
   32,180x = 50,326 × 50,326
4. Step 4: Simplify right side
   32,180x = 2,532,706,276
5. Step 5: Solve for x
   x = 2,532,706,276/32,180
6. Step 6: Final answer
   x = 78,704.36