Finding the Third Proportional to 37,084 and 55,698

Step by Step Solution

1. Step 1: Write the proportion equation
   37,084 : 55,698 = 55,698 : x
2. Step 2: Convert to fraction form
   37,084/55,698 = 55,698/x
3. Step 3: Cross multiply
   37,084x = 55,698 × 55,698
4. Step 4: Simplify right side
   37,084x = 3,102,267,204
5. Step 5: Solve for x
   x = 3,102,267,204/37,084
6. Step 6: Final answer
   x = 83,655.14