Finding the Third Proportional to 23,844 and 34,064

Step by Step Solution

1. Step 1: Write the proportion equation
   23,844 : 34,064 = 34,064 : x
2. Step 2: Convert to fraction form
   23,844/34,064 = 34,064/x
3. Step 3: Cross multiply
   23,844x = 34,064 × 34,064
4. Step 4: Simplify right side
   23,844x = 1,160,356,096
5. Step 5: Solve for x
   x = 1,160,356,096/23,844
6. Step 6: Final answer
   x = 48,664.49