Finding the Third Proportional to 32,182 and 50,013

Step by Step Solution

1. Step 1: Write the proportion equation
   32,182 : 50,013 = 50,013 : x
2. Step 2: Convert to fraction form
   32,182/50,013 = 50,013/x
3. Step 3: Cross multiply
   32,182x = 50,013 × 50,013
4. Step 4: Simplify right side
   32,182x = 2,501,300,169
5. Step 5: Solve for x
   x = 2,501,300,169/32,182
6. Step 6: Final answer
   x = 77,723.58