Finding the Third Proportional to 10,653.75 and 16,541.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,653.75 : 16,541.25 = 16,541.25 : x
2. Step 2: Convert to fraction form
   10,653.75/16,541.25 = 16,541.25/x
3. Step 3: Cross multiply
   10,653.75x = 16,541.25 × 16,541.25
4. Step 4: Simplify right side
   10,653.75x = 273,612,951.56
5. Step 5: Solve for x
   x = 273,612,951.56/10,653.75
6. Step 6: Final answer
   x = 25,682.31