Finding the Third Proportional to 11,138.50 and 19,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,138.50 : 19,799.50 = 19,799.50 : x
2. Step 2: Convert to fraction form
   11,138.50/19,799.50 = 19,799.50/x
3. Step 3: Cross multiply
   11,138.50x = 19,799.50 × 19,799.50
4. Step 4: Simplify right side
   11,138.50x = 392,020,200.25
5. Step 5: Solve for x
   x = 392,020,200.25/11,138.50
6. Step 6: Final answer
   x = 35,195.06