Finding the Third Proportional to 20,778 and 45,012

Step by Step Solution

1. Step 1: Write the proportion equation
   20,778 : 45,012 = 45,012 : x
2. Step 2: Convert to fraction form
   20,778/45,012 = 45,012/x
3. Step 3: Cross multiply
   20,778x = 45,012 × 45,012
4. Step 4: Simplify right side
   20,778x = 2,026,080,144
5. Step 5: Solve for x
   x = 2,026,080,144/20,778
6. Step 6: Final answer
   x = 97,510.84