Finding the Third Proportional to 37,130 and 57,580

Step by Step Solution

1. Step 1: Write the proportion equation
   37,130 : 57,580 = 57,580 : x
2. Step 2: Convert to fraction form
   37,130/57,580 = 57,580/x
3. Step 3: Cross multiply
   37,130x = 57,580 × 57,580
4. Step 4: Simplify right side
   37,130x = 3,315,456,400
5. Step 5: Solve for x
   x = 3,315,456,400/37,130
6. Step 6: Final answer
   x = 89,293.20