Finding the Third Proportional to 35,616 and 75,648

Step by Step Solution

1. Step 1: Write the proportion equation
   35,616 : 75,648 = 75,648 : x
2. Step 2: Convert to fraction form
   35,616/75,648 = 75,648/x
3. Step 3: Cross multiply
   35,616x = 75,648 × 75,648
4. Step 4: Simplify right side
   35,616x = 5,722,619,904
5. Step 5: Solve for x
   x = 5,722,619,904/35,616
6. Step 6: Final answer
   x = 160,675.54