Finding the Third Proportional to 36,680 and 55,098

Step by Step Solution

1. Step 1: Write the proportion equation
   36,680 : 55,098 = 55,098 : x
2. Step 2: Convert to fraction form
   36,680/55,098 = 55,098/x
3. Step 3: Cross multiply
   36,680x = 55,098 × 55,098
4. Step 4: Simplify right side
   36,680x = 3,035,789,604
5. Step 5: Solve for x
   x = 3,035,789,604/36,680
6. Step 6: Final answer
   x = 82,764.17