Finding the Third Proportional to 21,778 and 47,012

Step by Step Solution

1. Step 1: Write the proportion equation
   21,778 : 47,012 = 47,012 : x
2. Step 2: Convert to fraction form
   21,778/47,012 = 47,012/x
3. Step 3: Cross multiply
   21,778x = 47,012 × 47,012
4. Step 4: Simplify right side
   21,778x = 2,210,128,144
5. Step 5: Solve for x
   x = 2,210,128,144/21,778
6. Step 6: Final answer
   x = 101,484.44