Finding the Third Proportional to 35,616 and 76,173

Step by Step Solution

1. Step 1: Write the proportion equation
   35,616 : 76,173 = 76,173 : x
2. Step 2: Convert to fraction form
   35,616/76,173 = 76,173/x
3. Step 3: Cross multiply
   35,616x = 76,173 × 76,173
4. Step 4: Simplify right side
   35,616x = 5,802,325,929
5. Step 5: Solve for x
   x = 5,802,325,929/35,616
6. Step 6: Final answer
   x = 162,913.46