Finding the Third Proportional to 20,781 and 45,116

Step by Step Solution

1. Step 1: Write the proportion equation
   20,781 : 45,116 = 45,116 : x
2. Step 2: Convert to fraction form
   20,781/45,116 = 45,116/x
3. Step 3: Cross multiply
   20,781x = 45,116 × 45,116
4. Step 4: Simplify right side
   20,781x = 2,035,453,456
5. Step 5: Solve for x
   x = 2,035,453,456/20,781
6. Step 6: Final answer
   x = 97,947.81