Finding the Third Proportional to 10,411.88 and 13,830.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,411.88 : 13,830.75 = 13,830.75 : x
2. Step 2: Convert to fraction form
   10,411.88/13,830.75 = 13,830.75/x
3. Step 3: Cross multiply
   10,411.88x = 13,830.75 × 13,830.75
4. Step 4: Simplify right side
   10,411.88x = 191,289,645.56
5. Step 5: Solve for x
   x = 191,289,645.56/10,411.88
6. Step 6: Final answer
   x = 18,372.26