Finding the Third Proportional to 36,824 and 55,240

Step by Step Solution

1. Step 1: Write the proportion equation
   36,824 : 55,240 = 55,240 : x
2. Step 2: Convert to fraction form
   36,824/55,240 = 55,240/x
3. Step 3: Cross multiply
   36,824x = 55,240 × 55,240
4. Step 4: Simplify right side
   36,824x = 3,051,457,600
5. Step 5: Solve for x
   x = 3,051,457,600/36,824
6. Step 6: Final answer
   x = 82,866.00