Finding the Third Proportional to 10,024.38 and 14,014.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024.38 : 14,014.63 = 14,014.63 : x
2. Step 2: Convert to fraction form
   10,024.38/14,014.63 = 14,014.63/x
3. Step 3: Cross multiply
   10,024.38x = 14,014.63 × 14,014.63
4. Step 4: Simplify right side
   10,024.38x = 196,409,713.89
5. Step 5: Solve for x
   x = 196,409,713.89/10,024.38
6. Step 6: Final answer
   x = 19,593.21