Finding the Third Proportional to 11,200 and 19,736

Step by Step Solution

1. Step 1: Write the proportion equation
   11,200 : 19,736 = 19,736 : x
2. Step 2: Convert to fraction form
   11,200/19,736 = 19,736/x
3. Step 3: Cross multiply
   11,200x = 19,736 × 19,736
4. Step 4: Simplify right side
   11,200x = 389,509,696
5. Step 5: Solve for x
   x = 389,509,696/11,200
6. Step 6: Final answer
   x = 34,777.65