Finding the Third Proportional to 10,356.19 and 13,690.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.19 : 13,690.69 = 13,690.69 : x
2. Step 2: Convert to fraction form
   10,356.19/13,690.69 = 13,690.69/x
3. Step 3: Cross multiply
   10,356.19x = 13,690.69 × 13,690.69
4. Step 4: Simplify right side
   10,356.19x = 187,434,924.22
5. Step 5: Solve for x
   x = 187,434,924.22/10,356.19
6. Step 6: Final answer
   x = 18,098.83