Finding the Third Proportional to 37,856 and 58,580

Step by Step Solution

1. Step 1: Write the proportion equation
   37,856 : 58,580 = 58,580 : x
2. Step 2: Convert to fraction form
   37,856/58,580 = 58,580/x
3. Step 3: Cross multiply
   37,856x = 58,580 × 58,580
4. Step 4: Simplify right side
   37,856x = 3,431,616,400
5. Step 5: Solve for x
   x = 3,431,616,400/37,856
6. Step 6: Final answer
   x = 90,649.21