Finding the Third Proportional to 37,144 and 55,894

Step by Step Solution

1. Step 1: Write the proportion equation
   37,144 : 55,894 = 55,894 : x
2. Step 2: Convert to fraction form
   37,144/55,894 = 55,894/x
3. Step 3: Cross multiply
   37,144x = 55,894 × 55,894
4. Step 4: Simplify right side
   37,144x = 3,124,139,236
5. Step 5: Solve for x
   x = 3,124,139,236/37,144
6. Step 6: Final answer
   x = 84,108.85