Finding the Third Proportional to 13,694.63 and 19,569.94

Step by Step Solution

1. Step 1: Write the proportion equation
   13,694.63 : 19,569.94 = 19,569.94 : x
2. Step 2: Convert to fraction form
   13,694.63/19,569.94 = 19,569.94/x
3. Step 3: Cross multiply
   13,694.63x = 19,569.94 × 19,569.94
4. Step 4: Simplify right side
   13,694.63x = 382,982,453.75
5. Step 5: Solve for x
   x = 382,982,453.75/13,694.63
6. Step 6: Final answer
   x = 27,965.90