Finding the Third Proportional to 37,576 and 58,004

Step by Step Solution

1. Step 1: Write the proportion equation
   37,576 : 58,004 = 58,004 : x
2. Step 2: Convert to fraction form
   37,576/58,004 = 58,004/x
3. Step 3: Cross multiply
   37,576x = 58,004 × 58,004
4. Step 4: Simplify right side
   37,576x = 3,364,464,016
5. Step 5: Solve for x
   x = 3,364,464,016/37,576
6. Step 6: Final answer
   x = 89,537.58