Finding the Third Proportional to 31,946 and 50,012

Step by Step Solution

1. Step 1: Write the proportion equation
   31,946 : 50,012 = 50,012 : x
2. Step 2: Convert to fraction form
   31,946/50,012 = 50,012/x
3. Step 3: Cross multiply
   31,946x = 50,012 × 50,012
4. Step 4: Simplify right side
   31,946x = 2,501,200,144
5. Step 5: Solve for x
   x = 2,501,200,144/31,946
6. Step 6: Final answer
   x = 78,294.63