Finding the Third Proportional to 10,384.50 and 15,700.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.50 : 15,700.63 = 15,700.63 : x
2. Step 2: Convert to fraction form
   10,384.50/15,700.63 = 15,700.63/x
3. Step 3: Cross multiply
   10,384.50x = 15,700.63 × 15,700.63
4. Step 4: Simplify right side
   10,384.50x = 246,509,625.39
5. Step 5: Solve for x
   x = 246,509,625.39/10,384.50
6. Step 6: Final answer
   x = 23,738.23