Finding the Third Proportional to 10,378.13 and 12,155.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.13 : 12,155.06 = 12,155.06 : x
2. Step 2: Convert to fraction form
   10,378.13/12,155.06 = 12,155.06/x
3. Step 3: Cross multiply
   10,378.13x = 12,155.06 × 12,155.06
4. Step 4: Simplify right side
   10,378.13x = 147,745,544.38
5. Step 5: Solve for x
   x = 147,745,544.38/10,378.13
6. Step 6: Final answer
   x = 14,236.25