Finding the Third Proportional to 19,877 and 45,980

Step by Step Solution

1. Step 1: Write the proportion equation
   19,877 : 45,980 = 45,980 : x
2. Step 2: Convert to fraction form
   19,877/45,980 = 45,980/x
3. Step 3: Cross multiply
   19,877x = 45,980 × 45,980
4. Step 4: Simplify right side
   19,877x = 2,114,160,400
5. Step 5: Solve for x
   x = 2,114,160,400/19,877
6. Step 6: Final answer
   x = 106,362.15