Finding the Third Proportional to 5,187.75 and 10,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,187.75 : 10,618.50 = 10,618.50 : x
2. Step 2: Convert to fraction form
   5,187.75/10,618.50 = 10,618.50/x
3. Step 3: Cross multiply
   5,187.75x = 10,618.50 × 10,618.50
4. Step 4: Simplify right side
   5,187.75x = 112,752,542.25
5. Step 5: Solve for x
   x = 112,752,542.25/5,187.75
6. Step 6: Final answer
   x = 21,734.38