Finding the Third Proportional to 36,738 and 55,215

Step by Step Solution

1. Step 1: Write the proportion equation
   36,738 : 55,215 = 55,215 : x
2. Step 2: Convert to fraction form
   36,738/55,215 = 55,215/x
3. Step 3: Cross multiply
   36,738x = 55,215 × 55,215
4. Step 4: Simplify right side
   36,738x = 3,048,696,225
5. Step 5: Solve for x
   x = 3,048,696,225/36,738
6. Step 6: Final answer
   x = 82,984.82