Finding the Third Proportional to 34,014 and 74,592

Step by Step Solution

1. Step 1: Write the proportion equation
   34,014 : 74,592 = 74,592 : x
2. Step 2: Convert to fraction form
   34,014/74,592 = 74,592/x
3. Step 3: Cross multiply
   34,014x = 74,592 × 74,592
4. Step 4: Simplify right side
   34,014x = 5,563,966,464
5. Step 5: Solve for x
   x = 5,563,966,464/34,014
6. Step 6: Final answer
   x = 163,578.72