Finding the Third Proportional to 10,792 and 16,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,792 : 16,667.50 = 16,667.50 : x
2. Step 2: Convert to fraction form
   10,792/16,667.50 = 16,667.50/x
3. Step 3: Cross multiply
   10,792x = 16,667.50 × 16,667.50
4. Step 4: Simplify right side
   10,792x = 277,805,556.25
5. Step 5: Solve for x
   x = 277,805,556.25/10,792
6. Step 6: Final answer
   x = 25,741.80