Finding the Third Proportional to 42,412 and 80,968

Step by Step Solution

1. Step 1: Write the proportion equation
   42,412 : 80,968 = 80,968 : x
2. Step 2: Convert to fraction form
   42,412/80,968 = 80,968/x
3. Step 3: Cross multiply
   42,412x = 80,968 × 80,968
4. Step 4: Simplify right side
   42,412x = 6,555,817,024
5. Step 5: Solve for x
   x = 6,555,817,024/42,412
6. Step 6: Final answer
   x = 154,574.58