Finding the Third Proportional to 7,884 and 12,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,884 : 12,667.50 = 12,667.50 : x
2. Step 2: Convert to fraction form
   7,884/12,667.50 = 12,667.50/x
3. Step 3: Cross multiply
   7,884x = 12,667.50 × 12,667.50
4. Step 4: Simplify right side
   7,884x = 160,465,556.25
5. Step 5: Solve for x
   x = 160,465,556.25/7,884
6. Step 6: Final answer
   x = 20,353.32