Finding the Third Proportional to 9,123.75 and 13,736.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,123.75 : 13,736.25 = 13,736.25 : x
2. Step 2: Convert to fraction form
   9,123.75/13,736.25 = 13,736.25/x
3. Step 3: Cross multiply
   9,123.75x = 13,736.25 × 13,736.25
4. Step 4: Simplify right side
   9,123.75x = 188,684,564.06
5. Step 5: Solve for x
   x = 188,684,564.06/9,123.75
6. Step 6: Final answer
   x = 20,680.59