Finding the Third Proportional to 34,346 and 75,244

Step by Step Solution

1. Step 1: Write the proportion equation
   34,346 : 75,244 = 75,244 : x
2. Step 2: Convert to fraction form
   34,346/75,244 = 75,244/x
3. Step 3: Cross multiply
   34,346x = 75,244 × 75,244
4. Step 4: Simplify right side
   34,346x = 5,661,659,536
5. Step 5: Solve for x
   x = 5,661,659,536/34,346
6. Step 6: Final answer
   x = 164,841.89