Finding the Third Proportional to 34,638 and 73,410

Step by Step Solution

1. Step 1: Write the proportion equation
   34,638 : 73,410 = 73,410 : x
2. Step 2: Convert to fraction form
   34,638/73,410 = 73,410/x
3. Step 3: Cross multiply
   34,638x = 73,410 × 73,410
4. Step 4: Simplify right side
   34,638x = 5,389,028,100
5. Step 5: Solve for x
   x = 5,389,028,100/34,638
6. Step 6: Final answer
   x = 155,581.39