Finding the Third Proportional to 37,002 and 55,281

Step by Step Solution

1. Step 1: Write the proportion equation
   37,002 : 55,281 = 55,281 : x
2. Step 2: Convert to fraction form
   37,002/55,281 = 55,281/x
3. Step 3: Cross multiply
   37,002x = 55,281 × 55,281
4. Step 4: Simplify right side
   37,002x = 3,055,988,961
5. Step 5: Solve for x
   x = 3,055,988,961/37,002
6. Step 6: Final answer
   x = 82,589.83