Finding the Third Proportional to 42,880 and 65,984

Step by Step Solution

1. Step 1: Write the proportion equation
   42,880 : 65,984 = 65,984 : x
2. Step 2: Convert to fraction form
   42,880/65,984 = 65,984/x
3. Step 3: Cross multiply
   42,880x = 65,984 × 65,984
4. Step 4: Simplify right side
   42,880x = 4,353,888,256
5. Step 5: Solve for x
   x = 4,353,888,256/42,880
6. Step 6: Final answer
   x = 101,536.57