Finding the Third Proportional to 37,996 and 87,960

Step by Step Solution

1. Step 1: Write the proportion equation
   37,996 : 87,960 = 87,960 : x
2. Step 2: Convert to fraction form
   37,996/87,960 = 87,960/x
3. Step 3: Cross multiply
   37,996x = 87,960 × 87,960
4. Step 4: Simplify right side
   37,996x = 7,736,961,600
5. Step 5: Solve for x
   x = 7,736,961,600/37,996
6. Step 6: Final answer
   x = 203,625.69