Finding the Third Proportional to 33,954 and 74,468

Step by Step Solution

1. Step 1: Write the proportion equation
   33,954 : 74,468 = 74,468 : x
2. Step 2: Convert to fraction form
   33,954/74,468 = 74,468/x
3. Step 3: Cross multiply
   33,954x = 74,468 × 74,468
4. Step 4: Simplify right side
   33,954x = 5,545,483,024
5. Step 5: Solve for x
   x = 5,545,483,024/33,954
6. Step 6: Final answer
   x = 163,323.41