Finding the Third Proportional to 37,062 and 76,580

Step by Step Solution

1. Step 1: Write the proportion equation
   37,062 : 76,580 = 76,580 : x
2. Step 2: Convert to fraction form
   37,062/76,580 = 76,580/x
3. Step 3: Cross multiply
   37,062x = 76,580 × 76,580
4. Step 4: Simplify right side
   37,062x = 5,864,496,400
5. Step 5: Solve for x
   x = 5,864,496,400/37,062
6. Step 6: Final answer
   x = 158,234.75