Finding the Third Proportional to 32,680 and 49,116

Step by Step Solution

1. Step 1: Write the proportion equation
   32,680 : 49,116 = 49,116 : x
2. Step 2: Convert to fraction form
   32,680/49,116 = 49,116/x
3. Step 3: Cross multiply
   32,680x = 49,116 × 49,116
4. Step 4: Simplify right side
   32,680x = 2,412,381,456
5. Step 5: Solve for x
   x = 2,412,381,456/32,680
6. Step 6: Final answer
   x = 73,818.28