Finding the Third Proportional to 36,384 and 76,656

Step by Step Solution

1. Step 1: Write the proportion equation
   36,384 : 76,656 = 76,656 : x
2. Step 2: Convert to fraction form
   36,384/76,656 = 76,656/x
3. Step 3: Cross multiply
   36,384x = 76,656 × 76,656
4. Step 4: Simplify right side
   36,384x = 5,876,142,336
5. Step 5: Solve for x
   x = 5,876,142,336/36,384
6. Step 6: Final answer
   x = 161,503.47