Finding the Third Proportional to 4,147.31 and 9,114.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,147.31 : 9,114.75 = 9,114.75 : x
2. Step 2: Convert to fraction form
   4,147.31/9,114.75 = 9,114.75/x
3. Step 3: Cross multiply
   4,147.31x = 9,114.75 × 9,114.75
4. Step 4: Simplify right side
   4,147.31x = 83,078,667.56
5. Step 5: Solve for x
   x = 83,078,667.56/4,147.31
6. Step 6: Final answer
   x = 20,031.93