Finding the Third Proportional to 10,263.38 and 13,775.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,263.38 : 13,775.06 = 13,775.06 : x
2. Step 2: Convert to fraction form
   10,263.38/13,775.06 = 13,775.06/x
3. Step 3: Cross multiply
   10,263.38x = 13,775.06 × 13,775.06
4. Step 4: Simplify right side
   10,263.38x = 189,752,346.88
5. Step 5: Solve for x
   x = 189,752,346.88/10,263.38
6. Step 6: Final answer
   x = 18,488.30