Finding the Third Proportional to 11,502 and 16,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,502 : 16,222.50 = 16,222.50 : x
2. Step 2: Convert to fraction form
   11,502/16,222.50 = 16,222.50/x
3. Step 3: Cross multiply
   11,502x = 16,222.50 × 16,222.50
4. Step 4: Simplify right side
   11,502x = 263,169,506.25
5. Step 5: Solve for x
   x = 263,169,506.25/11,502
6. Step 6: Final answer
   x = 22,880.33