Finding the Third Proportional to 13,870.75 and 19,626.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.75 : 19,626.75 = 19,626.75 : x
2. Step 2: Convert to fraction form
   13,870.75/19,626.75 = 19,626.75/x
3. Step 3: Cross multiply
   13,870.75x = 19,626.75 × 19,626.75
4. Step 4: Simplify right side
   13,870.75x = 385,209,315.56
5. Step 5: Solve for x
   x = 385,209,315.56/13,870.75
6. Step 6: Final answer
   x = 27,771.34