Finding the Third Proportional to 8,537 and 13,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,537 : 13,362.50 = 13,362.50 : x
2. Step 2: Convert to fraction form
   8,537/13,362.50 = 13,362.50/x
3. Step 3: Cross multiply
   8,537x = 13,362.50 × 13,362.50
4. Step 4: Simplify right side
   8,537x = 178,556,406.25
5. Step 5: Solve for x
   x = 178,556,406.25/8,537
6. Step 6: Final answer
   x = 20,915.59