Finding the Third Proportional to 14,540 and 23,061

Step by Step Solution

1. Step 1: Write the proportion equation
   14,540 : 23,061 = 23,061 : x
2. Step 2: Convert to fraction form
   14,540/23,061 = 23,061/x
3. Step 3: Cross multiply
   14,540x = 23,061 × 23,061
4. Step 4: Simplify right side
   14,540x = 531,809,721
5. Step 5: Solve for x
   x = 531,809,721/14,540
6. Step 6: Final answer
   x = 36,575.63