Finding the Third Proportional to 13,693.50 and 19,568.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,693.50 : 19,568.25 = 19,568.25 : x
2. Step 2: Convert to fraction form
   13,693.50/19,568.25 = 19,568.25/x
3. Step 3: Cross multiply
   13,693.50x = 19,568.25 × 19,568.25
4. Step 4: Simplify right side
   13,693.50x = 382,916,408.06
5. Step 5: Solve for x
   x = 382,916,408.06/13,693.50
6. Step 6: Final answer
   x = 27,963.37