Finding the Third Proportional to 10,235 and 16,061

Step by Step Solution

1. Step 1: Write the proportion equation
   10,235 : 16,061 = 16,061 : x
2. Step 2: Convert to fraction form
   10,235/16,061 = 16,061/x
3. Step 3: Cross multiply
   10,235x = 16,061 × 16,061
4. Step 4: Simplify right side
   10,235x = 257,955,721
5. Step 5: Solve for x
   x = 257,955,721/10,235
6. Step 6: Final answer
   x = 25,203.29