Finding the Third Proportional to 32,456 and 69,976

Step by Step Solution

1. Step 1: Write the proportion equation
   32,456 : 69,976 = 69,976 : x
2. Step 2: Convert to fraction form
   32,456/69,976 = 69,976/x
3. Step 3: Cross multiply
   32,456x = 69,976 × 69,976
4. Step 4: Simplify right side
   32,456x = 4,896,640,576
5. Step 5: Solve for x
   x = 4,896,640,576/32,456
6. Step 6: Final answer
   x = 150,870.12