Finding the Third Proportional to 27,680 and 32,504

Step by Step Solution

1. Step 1: Write the proportion equation
   27,680 : 32,504 = 32,504 : x
2. Step 2: Convert to fraction form
   27,680/32,504 = 32,504/x
3. Step 3: Cross multiply
   27,680x = 32,504 × 32,504
4. Step 4: Simplify right side
   27,680x = 1,056,510,016
5. Step 5: Solve for x
   x = 1,056,510,016/27,680
6. Step 6: Final answer
   x = 38,168.71