Finding the Third Proportional to 51,614 and 72,683

Step by Step Solution

1. Step 1: Write the proportion equation
   51,614 : 72,683 = 72,683 : x
2. Step 2: Convert to fraction form
   51,614/72,683 = 72,683/x
3. Step 3: Cross multiply
   51,614x = 72,683 × 72,683
4. Step 4: Simplify right side
   51,614x = 5,282,818,489
5. Step 5: Solve for x
   x = 5,282,818,489/51,614
6. Step 6: Final answer
   x = 102,352.43