Finding the Third Proportional to 27,696 and 32,784

Step by Step Solution

1. Step 1: Write the proportion equation
   27,696 : 32,784 = 32,784 : x
2. Step 2: Convert to fraction form
   27,696/32,784 = 32,784/x
3. Step 3: Cross multiply
   27,696x = 32,784 × 32,784
4. Step 4: Simplify right side
   27,696x = 1,074,790,656
5. Step 5: Solve for x
   x = 1,074,790,656/27,696
6. Step 6: Final answer
   x = 38,806.71