Finding the Third Proportional to 13,693.75 and 19,568.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,693.75 : 19,568.63 = 19,568.63 : x
2. Step 2: Convert to fraction form
   13,693.75/19,568.63 = 19,568.63/x
3. Step 3: Cross multiply
   13,693.75x = 19,568.63 × 19,568.63
4. Step 4: Simplify right side
   13,693.75x = 382,931,084.39
5. Step 5: Solve for x
   x = 382,931,084.39/13,693.75
6. Step 6: Final answer
   x = 27,963.93