Finding the Third Proportional to 34,621 and 75,648

Step by Step Solution

1. Step 1: Write the proportion equation
   34,621 : 75,648 = 75,648 : x
2. Step 2: Convert to fraction form
   34,621/75,648 = 75,648/x
3. Step 3: Cross multiply
   34,621x = 75,648 × 75,648
4. Step 4: Simplify right side
   34,621x = 5,722,619,904
5. Step 5: Solve for x
   x = 5,722,619,904/34,621
6. Step 6: Final answer
   x = 165,293.32