Finding the Third Proportional to 34,683 and 73,686

Step by Step Solution

1. Step 1: Write the proportion equation
   34,683 : 73,686 = 73,686 : x
2. Step 2: Convert to fraction form
   34,683/73,686 = 73,686/x
3. Step 3: Cross multiply
   34,683x = 73,686 × 73,686
4. Step 4: Simplify right side
   34,683x = 5,429,626,596
5. Step 5: Solve for x
   x = 5,429,626,596/34,683
6. Step 6: Final answer
   x = 156,550.08