Finding the Third Proportional to 8,175 and 13,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,175 : 13,522.50 = 13,522.50 : x
2. Step 2: Convert to fraction form
   8,175/13,522.50 = 13,522.50/x
3. Step 3: Cross multiply
   8,175x = 13,522.50 × 13,522.50
4. Step 4: Simplify right side
   8,175x = 182,858,006.25
5. Step 5: Solve for x
   x = 182,858,006.25/8,175
6. Step 6: Final answer
   x = 22,367.95