Finding the Third Proportional to 9,084 and 13,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,084 : 13,693.50 = 13,693.50 : x
2. Step 2: Convert to fraction form
   9,084/13,693.50 = 13,693.50/x
3. Step 3: Cross multiply
   9,084x = 13,693.50 × 13,693.50
4. Step 4: Simplify right side
   9,084x = 187,511,942.25
5. Step 5: Solve for x
   x = 187,511,942.25/9,084
6. Step 6: Final answer
   x = 20,642.00