Finding the Third Proportional to 10,509.75 and 14,963.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,509.75 : 14,963.06 = 14,963.06 : x
2. Step 2: Convert to fraction form
   10,509.75/14,963.06 = 14,963.06/x
3. Step 3: Cross multiply
   10,509.75x = 14,963.06 × 14,963.06
4. Step 4: Simplify right side
   10,509.75x = 223,893,239.38
5. Step 5: Solve for x
   x = 223,893,239.38/10,509.75
6. Step 6: Final answer
   x = 21,303.38