Finding the Third Proportional to 42,010 and 80,941

Step by Step Solution

1. Step 1: Write the proportion equation
   42,010 : 80,941 = 80,941 : x
2. Step 2: Convert to fraction form
   42,010/80,941 = 80,941/x
3. Step 3: Cross multiply
   42,010x = 80,941 × 80,941
4. Step 4: Simplify right side
   42,010x = 6,551,445,481
5. Step 5: Solve for x
   x = 6,551,445,481/42,010
6. Step 6: Final answer
   x = 155,949.67