Finding the Third Proportional to 34,546 and 50,686

Step by Step Solution

1. Step 1: Write the proportion equation
   34,546 : 50,686 = 50,686 : x
2. Step 2: Convert to fraction form
   34,546/50,686 = 50,686/x
3. Step 3: Cross multiply
   34,546x = 50,686 × 50,686
4. Step 4: Simplify right side
   34,546x = 2,569,070,596
5. Step 5: Solve for x
   x = 2,569,070,596/34,546
6. Step 6: Final answer
   x = 74,366.66