Finding the Third Proportional to 9,071.25 and 13,743.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,071.25 : 13,743.75 = 13,743.75 : x
2. Step 2: Convert to fraction form
   9,071.25/13,743.75 = 13,743.75/x
3. Step 3: Cross multiply
   9,071.25x = 13,743.75 × 13,743.75
4. Step 4: Simplify right side
   9,071.25x = 188,890,664.06
5. Step 5: Solve for x
   x = 188,890,664.06/9,071.25
6. Step 6: Final answer
   x = 20,823.00