Finding the Third Proportional to 47,664 and 74,064

Step by Step Solution

1. Step 1: Write the proportion equation
   47,664 : 74,064 = 74,064 : x
2. Step 2: Convert to fraction form
   47,664/74,064 = 74,064/x
3. Step 3: Cross multiply
   47,664x = 74,064 × 74,064
4. Step 4: Simplify right side
   47,664x = 5,485,476,096
5. Step 5: Solve for x
   x = 5,485,476,096/47,664
6. Step 6: Final answer
   x = 115,086.36