Finding the Third Proportional to 31,698 and 49,083

Step by Step Solution

1. Step 1: Write the proportion equation
   31,698 : 49,083 = 49,083 : x
2. Step 2: Convert to fraction form
   31,698/49,083 = 49,083/x
3. Step 3: Cross multiply
   31,698x = 49,083 × 49,083
4. Step 4: Simplify right side
   31,698x = 2,409,140,889
5. Step 5: Solve for x
   x = 2,409,140,889/31,698
6. Step 6: Final answer
   x = 76,002.93