Finding the Third Proportional to 10,116 and 22,064

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116 : 22,064 = 22,064 : x
2. Step 2: Convert to fraction form
   10,116/22,064 = 22,064/x
3. Step 3: Cross multiply
   10,116x = 22,064 × 22,064
4. Step 4: Simplify right side
   10,116x = 486,820,096
5. Step 5: Solve for x
   x = 486,820,096/10,116
6. Step 6: Final answer
   x = 48,123.77