Finding the Third Proportional to 33,680 and 52,116

Step by Step Solution

1. Step 1: Write the proportion equation
   33,680 : 52,116 = 52,116 : x
2. Step 2: Convert to fraction form
   33,680/52,116 = 52,116/x
3. Step 3: Cross multiply
   33,680x = 52,116 × 52,116
4. Step 4: Simplify right side
   33,680x = 2,716,077,456
5. Step 5: Solve for x
   x = 2,716,077,456/33,680
6. Step 6: Final answer
   x = 80,643.63