Finding the Third Proportional to 9,144 and 13,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144 : 13,522.50 = 13,522.50 : x
2. Step 2: Convert to fraction form
   9,144/13,522.50 = 13,522.50/x
3. Step 3: Cross multiply
   9,144x = 13,522.50 × 13,522.50
4. Step 4: Simplify right side
   9,144x = 182,858,006.25
5. Step 5: Solve for x
   x = 182,858,006.25/9,144
6. Step 6: Final answer
   x = 19,997.59