Finding the Third Proportional to 34,980 and 75,144

Step by Step Solution

1. Step 1: Write the proportion equation
   34,980 : 75,144 = 75,144 : x
2. Step 2: Convert to fraction form
   34,980/75,144 = 75,144/x
3. Step 3: Cross multiply
   34,980x = 75,144 × 75,144
4. Step 4: Simplify right side
   34,980x = 5,646,620,736
5. Step 5: Solve for x
   x = 5,646,620,736/34,980
6. Step 6: Final answer
   x = 161,424.26