Finding the Third Proportional to 10,256.63 and 13,501.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.63 : 13,501.69 = 13,501.69 : x
2. Step 2: Convert to fraction form
   10,256.63/13,501.69 = 13,501.69/x
3. Step 3: Cross multiply
   10,256.63x = 13,501.69 × 13,501.69
4. Step 4: Simplify right side
   10,256.63x = 182,295,565.35
5. Step 5: Solve for x
   x = 182,295,565.35/10,256.63
6. Step 6: Final answer
   x = 17,773.45