Finding the Third Proportional to 10,031.63 and 15,314.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,031.63 : 15,314.63 = 15,314.63 : x
2. Step 2: Convert to fraction form
   10,031.63/15,314.63 = 15,314.63/x
3. Step 3: Cross multiply
   10,031.63x = 15,314.63 × 15,314.63
4. Step 4: Simplify right side
   10,031.63x = 234,537,738.89
5. Step 5: Solve for x
   x = 234,537,738.89/10,031.63
6. Step 6: Final answer
   x = 23,379.84