Finding the Third Proportional to 37,764 and 55,286

Step by Step Solution

1. Step 1: Write the proportion equation
   37,764 : 55,286 = 55,286 : x
2. Step 2: Convert to fraction form
   37,764/55,286 = 55,286/x
3. Step 3: Cross multiply
   37,764x = 55,286 × 55,286
4. Step 4: Simplify right side
   37,764x = 3,056,541,796
5. Step 5: Solve for x
   x = 3,056,541,796/37,764
6. Step 6: Final answer
   x = 80,937.98