Finding the Third Proportional to 20,946 and 45,780

Step by Step Solution

1. Step 1: Write the proportion equation
   20,946 : 45,780 = 45,780 : x
2. Step 2: Convert to fraction form
   20,946/45,780 = 45,780/x
3. Step 3: Cross multiply
   20,946x = 45,780 × 45,780
4. Step 4: Simplify right side
   20,946x = 2,095,808,400
5. Step 5: Solve for x
   x = 2,095,808,400/20,946
6. Step 6: Final answer
   x = 100,057.69