Finding the Third Proportional to 5,514.75 and 10,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,514.75 : 10,471.50 = 10,471.50 : x
2. Step 2: Convert to fraction form
   5,514.75/10,471.50 = 10,471.50/x
3. Step 3: Cross multiply
   5,514.75x = 10,471.50 × 10,471.50
4. Step 4: Simplify right side
   5,514.75x = 109,652,312.25
5. Step 5: Solve for x
   x = 109,652,312.25/5,514.75
6. Step 6: Final answer
   x = 19,883.46