Finding the Third Proportional to 33,984 and 74,880

Step by Step Solution

1. Step 1: Write the proportion equation
   33,984 : 74,880 = 74,880 : x
2. Step 2: Convert to fraction form
   33,984/74,880 = 74,880/x
3. Step 3: Cross multiply
   33,984x = 74,880 × 74,880
4. Step 4: Simplify right side
   33,984x = 5,607,014,400
5. Step 5: Solve for x
   x = 5,607,014,400/33,984
6. Step 6: Final answer
   x = 164,989.83