Finding the Third Proportional to 4,642.50 and 9,667.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,642.50 : 9,667.75 = 9,667.75 : x
2. Step 2: Convert to fraction form
   4,642.50/9,667.75 = 9,667.75/x
3. Step 3: Cross multiply
   4,642.50x = 9,667.75 × 9,667.75
4. Step 4: Simplify right side
   4,642.50x = 93,465,390.06
5. Step 5: Solve for x
   x = 93,465,390.06/4,642.50
6. Step 6: Final answer
   x = 20,132.56