Finding the Third Proportional to 37,580 and 58,270

Step by Step Solution

1. Step 1: Write the proportion equation
   37,580 : 58,270 = 58,270 : x
2. Step 2: Convert to fraction form
   37,580/58,270 = 58,270/x
3. Step 3: Cross multiply
   37,580x = 58,270 × 58,270
4. Step 4: Simplify right side
   37,580x = 3,395,392,900
5. Step 5: Solve for x
   x = 3,395,392,900/37,580
6. Step 6: Final answer
   x = 90,351.06