Finding the Third Proportional to 10,155 and 13,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,155 : 13,756.50 = 13,756.50 : x
2. Step 2: Convert to fraction form
   10,155/13,756.50 = 13,756.50/x
3. Step 3: Cross multiply
   10,155x = 13,756.50 × 13,756.50
4. Step 4: Simplify right side
   10,155x = 189,241,292.25
5. Step 5: Solve for x
   x = 189,241,292.25/10,155
6. Step 6: Final answer
   x = 18,635.28