Finding the Third Proportional to 8,578.13 and 13,698.56

Step by Step Solution

1. Step 1: Write the proportion equation
   8,578.13 : 13,698.56 = 13,698.56 : x
2. Step 2: Convert to fraction form
   8,578.13/13,698.56 = 13,698.56/x
3. Step 3: Cross multiply
   8,578.13x = 13,698.56 × 13,698.56
4. Step 4: Simplify right side
   8,578.13x = 187,650,614.57
5. Step 5: Solve for x
   x = 187,650,614.57/8,578.13
6. Step 6: Final answer
   x = 21,875.48