Finding the Third Proportional to 34,624 and 75,836

Step by Step Solution

1. Step 1: Write the proportion equation
   34,624 : 75,836 = 75,836 : x
2. Step 2: Convert to fraction form
   34,624/75,836 = 75,836/x
3. Step 3: Cross multiply
   34,624x = 75,836 × 75,836
4. Step 4: Simplify right side
   34,624x = 5,751,098,896
5. Step 5: Solve for x
   x = 5,751,098,896/34,624
6. Step 6: Final answer
   x = 166,101.52