Finding the Third Proportional to 37,013 and 56,441

Step by Step Solution

1. Step 1: Write the proportion equation
   37,013 : 56,441 = 56,441 : x
2. Step 2: Convert to fraction form
   37,013/56,441 = 56,441/x
3. Step 3: Cross multiply
   37,013x = 56,441 × 56,441
4. Step 4: Simplify right side
   37,013x = 3,185,586,481
5. Step 5: Solve for x
   x = 3,185,586,481/37,013
6. Step 6: Final answer
   x = 86,066.69