Finding the Third Proportional to 34,155 and 71,526

Step by Step Solution

1. Step 1: Write the proportion equation
   34,155 : 71,526 = 71,526 : x
2. Step 2: Convert to fraction form
   34,155/71,526 = 71,526/x
3. Step 3: Cross multiply
   34,155x = 71,526 × 71,526
4. Step 4: Simplify right side
   34,155x = 5,115,968,676
5. Step 5: Solve for x
   x = 5,115,968,676/34,155
6. Step 6: Final answer
   x = 149,786.82