Finding the Third Proportional to 21,684 and 45,012

Step by Step Solution

1. Step 1: Write the proportion equation
   21,684 : 45,012 = 45,012 : x
2. Step 2: Convert to fraction form
   21,684/45,012 = 45,012/x
3. Step 3: Cross multiply
   21,684x = 45,012 × 45,012
4. Step 4: Simplify right side
   21,684x = 2,026,080,144
5. Step 5: Solve for x
   x = 2,026,080,144/21,684
6. Step 6: Final answer
   x = 93,436.64