Finding the Third Proportional to 5,114 and 10,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,114 : 10,554.50 = 10,554.50 : x
2. Step 2: Convert to fraction form
   5,114/10,554.50 = 10,554.50/x
3. Step 3: Cross multiply
   5,114x = 10,554.50 × 10,554.50
4. Step 4: Simplify right side
   5,114x = 111,397,470.25
5. Step 5: Solve for x
   x = 111,397,470.25/5,114
6. Step 6: Final answer
   x = 21,782.85