Finding the Third Proportional to 4,560 and 9,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,560 : 9,667.50 = 9,667.50 : x
2. Step 2: Convert to fraction form
   4,560/9,667.50 = 9,667.50/x
3. Step 3: Cross multiply
   4,560x = 9,667.50 × 9,667.50
4. Step 4: Simplify right side
   4,560x = 93,460,556.25
5. Step 5: Solve for x
   x = 93,460,556.25/4,560
6. Step 6: Final answer
   x = 20,495.74