Finding the Third Proportional to 13,945.50 and 19,505.81

Step by Step Solution

1. Step 1: Write the proportion equation
   13,945.50 : 19,505.81 = 19,505.81 : x
2. Step 2: Convert to fraction form
   13,945.50/19,505.81 = 19,505.81/x
3. Step 3: Cross multiply
   13,945.50x = 19,505.81 × 19,505.81
4. Step 4: Simplify right side
   13,945.50x = 380,476,721.29
5. Step 5: Solve for x
   x = 380,476,721.29/13,945.50
6. Step 6: Final answer
   x = 27,283.12