Finding the Third Proportional to 34,191 and 71,837

Step by Step Solution

1. Step 1: Write the proportion equation
   34,191 : 71,837 = 71,837 : x
2. Step 2: Convert to fraction form
   34,191/71,837 = 71,837/x
3. Step 3: Cross multiply
   34,191x = 71,837 × 71,837
4. Step 4: Simplify right side
   34,191x = 5,160,554,569
5. Step 5: Solve for x
   x = 5,160,554,569/34,191
6. Step 6: Final answer
   x = 150,933.13