Finding the Third Proportional to 10,992 and 16,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,992 : 16,852.50 = 16,852.50 : x
2. Step 2: Convert to fraction form
   10,992/16,852.50 = 16,852.50/x
3. Step 3: Cross multiply
   10,992x = 16,852.50 × 16,852.50
4. Step 4: Simplify right side
   10,992x = 284,006,756.25
5. Step 5: Solve for x
   x = 284,006,756.25/10,992
6. Step 6: Final answer
   x = 25,837.59