Finding the Third Proportional to 31,968 and 74,667

Step by Step Solution

1. Step 1: Write the proportion equation
   31,968 : 74,667 = 74,667 : x
2. Step 2: Convert to fraction form
   31,968/74,667 = 74,667/x
3. Step 3: Cross multiply
   31,968x = 74,667 × 74,667
4. Step 4: Simplify right side
   31,968x = 5,575,160,889
5. Step 5: Solve for x
   x = 5,575,160,889/31,968
6. Step 6: Final answer
   x = 174,398.18