Finding the Third Proportional to 37,682 and 55,368

Step by Step Solution

1. Step 1: Write the proportion equation
   37,682 : 55,368 = 55,368 : x
2. Step 2: Convert to fraction form
   37,682/55,368 = 55,368/x
3. Step 3: Cross multiply
   37,682x = 55,368 × 55,368
4. Step 4: Simplify right side
   37,682x = 3,065,615,424
5. Step 5: Solve for x
   x = 3,065,615,424/37,682
6. Step 6: Final answer
   x = 81,354.90