Finding the Third Proportional to 13,600 and 32,736

Step by Step Solution

1. Step 1: Write the proportion equation
   13,600 : 32,736 = 32,736 : x
2. Step 2: Convert to fraction form
   13,600/32,736 = 32,736/x
3. Step 3: Cross multiply
   13,600x = 32,736 × 32,736
4. Step 4: Simplify right side
   13,600x = 1,071,645,696
5. Step 5: Solve for x
   x = 1,071,645,696/13,600
6. Step 6: Final answer
   x = 78,797.48