Finding the Third Proportional to 14,596 and 23,116

Step by Step Solution

1. Step 1: Write the proportion equation
   14,596 : 23,116 = 23,116 : x
2. Step 2: Convert to fraction form
   14,596/23,116 = 23,116/x
3. Step 3: Cross multiply
   14,596x = 23,116 × 23,116
4. Step 4: Simplify right side
   14,596x = 534,349,456
5. Step 5: Solve for x
   x = 534,349,456/14,596
6. Step 6: Final answer
   x = 36,609.31