Finding the Third Proportional to 10,993.50 and 14,748.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,993.50 : 14,748.75 = 14,748.75 : x
2. Step 2: Convert to fraction form
   10,993.50/14,748.75 = 14,748.75/x
3. Step 3: Cross multiply
   10,993.50x = 14,748.75 × 14,748.75
4. Step 4: Simplify right side
   10,993.50x = 217,525,626.56
5. Step 5: Solve for x
   x = 217,525,626.56/10,993.50
6. Step 6: Final answer
   x = 19,786.75