Finding the Third Proportional to 10,356.19 and 12,178.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.19 : 12,178.69 = 12,178.69 : x
2. Step 2: Convert to fraction form
   10,356.19/12,178.69 = 12,178.69/x
3. Step 3: Cross multiply
   10,356.19x = 12,178.69 × 12,178.69
4. Step 4: Simplify right side
   10,356.19x = 148,320,429.22
5. Step 5: Solve for x
   x = 148,320,429.22/10,356.19
6. Step 6: Final answer
   x = 14,321.91