Finding the Third Proportional to 34,224 and 74,064

Step by Step Solution

1. Step 1: Write the proportion equation
   34,224 : 74,064 = 74,064 : x
2. Step 2: Convert to fraction form
   34,224/74,064 = 74,064/x
3. Step 3: Cross multiply
   34,224x = 74,064 × 74,064
4. Step 4: Simplify right side
   34,224x = 5,485,476,096
5. Step 5: Solve for x
   x = 5,485,476,096/34,224
6. Step 6: Final answer
   x = 160,281.56