Finding the Third Proportional to 37,204 and 55,802

Step by Step Solution

1. Step 1: Write the proportion equation
   37,204 : 55,802 = 55,802 : x
2. Step 2: Convert to fraction form
   37,204/55,802 = 55,802/x
3. Step 3: Cross multiply
   37,204x = 55,802 × 55,802
4. Step 4: Simplify right side
   37,204x = 3,113,863,204
5. Step 5: Solve for x
   x = 3,113,863,204/37,204
6. Step 6: Final answer
   x = 83,697.00