Finding the Third Proportional to 10,725 and 16,406.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,725 : 16,406.63 = 16,406.63 : x
2. Step 2: Convert to fraction form
   10,725/16,406.63 = 16,406.63/x
3. Step 3: Cross multiply
   10,725x = 16,406.63 × 16,406.63
4. Step 4: Simplify right side
   10,725x = 269,177,343.89
5. Step 5: Solve for x
   x = 269,177,343.89/10,725
6. Step 6: Final answer
   x = 25,098.12