Finding the Third Proportional to 37,781 and 55,519

Step by Step Solution

1. Step 1: Write the proportion equation
   37,781 : 55,519 = 55,519 : x
2. Step 2: Convert to fraction form
   37,781/55,519 = 55,519/x
3. Step 3: Cross multiply
   37,781x = 55,519 × 55,519
4. Step 4: Simplify right side
   37,781x = 3,082,359,361
5. Step 5: Solve for x
   x = 3,082,359,361/37,781
6. Step 6: Final answer
   x = 81,584.91