Finding the Third Proportional to 37,986 and 87,942

Step by Step Solution

1. Step 1: Write the proportion equation
   37,986 : 87,942 = 87,942 : x
2. Step 2: Convert to fraction form
   37,986/87,942 = 87,942/x
3. Step 3: Cross multiply
   37,986x = 87,942 × 87,942
4. Step 4: Simplify right side
   37,986x = 7,733,795,364
5. Step 5: Solve for x
   x = 7,733,795,364/37,986
6. Step 6: Final answer
   x = 203,595.94