Finding the Third Proportional to 21,770 and 45,424

Step by Step Solution

1. Step 1: Write the proportion equation
   21,770 : 45,424 = 45,424 : x
2. Step 2: Convert to fraction form
   21,770/45,424 = 45,424/x
3. Step 3: Cross multiply
   21,770x = 45,424 × 45,424
4. Step 4: Simplify right side
   21,770x = 2,063,339,776
5. Step 5: Solve for x
   x = 2,063,339,776/21,770
6. Step 6: Final answer
   x = 94,779.04