Finding the Third Proportional to 42,976 and 69,024

Step by Step Solution

1. Step 1: Write the proportion equation
   42,976 : 69,024 = 69,024 : x
2. Step 2: Convert to fraction form
   42,976/69,024 = 69,024/x
3. Step 3: Cross multiply
   42,976x = 69,024 × 69,024
4. Step 4: Simplify right side
   42,976x = 4,764,312,576
5. Step 5: Solve for x
   x = 4,764,312,576/42,976
6. Step 6: Final answer
   x = 110,859.84