Finding the Third Proportional to 36,144 and 55,656

Step by Step Solution

1. Step 1: Write the proportion equation
   36,144 : 55,656 = 55,656 : x
2. Step 2: Convert to fraction form
   36,144/55,656 = 55,656/x
3. Step 3: Cross multiply
   36,144x = 55,656 × 55,656
4. Step 4: Simplify right side
   36,144x = 3,097,590,336
5. Step 5: Solve for x
   x = 3,097,590,336/36,144
6. Step 6: Final answer
   x = 85,701.37