Finding the Third Proportional to 34,211 and 74,956

Step by Step Solution

1. Step 1: Write the proportion equation
   34,211 : 74,956 = 74,956 : x
2. Step 2: Convert to fraction form
   34,211/74,956 = 74,956/x
3. Step 3: Cross multiply
   34,211x = 74,956 × 74,956
4. Step 4: Simplify right side
   34,211x = 5,618,401,936
5. Step 5: Solve for x
   x = 5,618,401,936/34,211
6. Step 6: Final answer
   x = 164,227.94