Finding the Third Proportional to 7,822.50 and 16,164

Step by Step Solution

1. Step 1: Write the proportion equation
   7,822.50 : 16,164 = 16,164 : x
2. Step 2: Convert to fraction form
   7,822.50/16,164 = 16,164/x
3. Step 3: Cross multiply
   7,822.50x = 16,164 × 16,164
4. Step 4: Simplify right side
   7,822.50x = 261,274,896
5. Step 5: Solve for x
   x = 261,274,896/7,822.50
6. Step 6: Final answer
   x = 33,400.43