Finding the Third Proportional to 37,098 and 76,642

Step by Step Solution

1. Step 1: Write the proportion equation
   37,098 : 76,642 = 76,642 : x
2. Step 2: Convert to fraction form
   37,098/76,642 = 76,642/x
3. Step 3: Cross multiply
   37,098x = 76,642 × 76,642
4. Step 4: Simplify right side
   37,098x = 5,873,996,164
5. Step 5: Solve for x
   x = 5,873,996,164/37,098
6. Step 6: Final answer
   x = 158,337.27