Finding the Third Proportional to 10,994 and 24,164

Step by Step Solution

1. Step 1: Write the proportion equation
   10,994 : 24,164 = 24,164 : x
2. Step 2: Convert to fraction form
   10,994/24,164 = 24,164/x
3. Step 3: Cross multiply
   10,994x = 24,164 × 24,164
4. Step 4: Simplify right side
   10,994x = 583,898,896
5. Step 5: Solve for x
   x = 583,898,896/10,994
6. Step 6: Final answer
   x = 53,110.69