Finding the Third Proportional to 37,771 and 88,215

Step by Step Solution

1. Step 1: Write the proportion equation
   37,771 : 88,215 = 88,215 : x
2. Step 2: Convert to fraction form
   37,771/88,215 = 88,215/x
3. Step 3: Cross multiply
   37,771x = 88,215 × 88,215
4. Step 4: Simplify right side
   37,771x = 7,781,886,225
5. Step 5: Solve for x
   x = 7,781,886,225/37,771
6. Step 6: Final answer
   x = 206,028.07