Finding the Third Proportional to 34,848 and 74,191

Step by Step Solution

1. Step 1: Write the proportion equation
   34,848 : 74,191 = 74,191 : x
2. Step 2: Convert to fraction form
   34,848/74,191 = 74,191/x
3. Step 3: Cross multiply
   34,848x = 74,191 × 74,191
4. Step 4: Simplify right side
   34,848x = 5,504,304,481
5. Step 5: Solve for x
   x = 5,504,304,481/34,848
6. Step 6: Final answer
   x = 157,951.80