Finding the Third Proportional to 37,984 and 76,016

Step by Step Solution

1. Step 1: Write the proportion equation
   37,984 : 76,016 = 76,016 : x
2. Step 2: Convert to fraction form
   37,984/76,016 = 76,016/x
3. Step 3: Cross multiply
   37,984x = 76,016 × 76,016
4. Step 4: Simplify right side
   37,984x = 5,778,432,256
5. Step 5: Solve for x
   x = 5,778,432,256/37,984
6. Step 6: Final answer
   x = 152,128.06