Finding the Third Proportional to 10,254 and 16,064.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254 : 16,064.25 = 16,064.25 : x
2. Step 2: Convert to fraction form
   10,254/16,064.25 = 16,064.25/x
3. Step 3: Cross multiply
   10,254x = 16,064.25 × 16,064.25
4. Step 4: Simplify right side
   10,254x = 258,060,128.06
5. Step 5: Solve for x
   x = 258,060,128.06/10,254
6. Step 6: Final answer
   x = 25,166.78