Finding the Third Proportional to 36,924 and 55,242

Step by Step Solution

1. Step 1: Write the proportion equation
   36,924 : 55,242 = 55,242 : x
2. Step 2: Convert to fraction form
   36,924/55,242 = 55,242/x
3. Step 3: Cross multiply
   36,924x = 55,242 × 55,242
4. Step 4: Simplify right side
   36,924x = 3,051,678,564
5. Step 5: Solve for x
   x = 3,051,678,564/36,924
6. Step 6: Final answer
   x = 82,647.56