Finding the Third Proportional to 37,580 and 59,462

Step by Step Solution

1. Step 1: Write the proportion equation
   37,580 : 59,462 = 59,462 : x
2. Step 2: Convert to fraction form
   37,580/59,462 = 59,462/x
3. Step 3: Cross multiply
   37,580x = 59,462 × 59,462
4. Step 4: Simplify right side
   37,580x = 3,535,729,444
5. Step 5: Solve for x
   x = 3,535,729,444/37,580
6. Step 6: Final answer
   x = 94,085.40