Finding the Third Proportional to 19,770 and 42,562

Step by Step Solution

1. Step 1: Write the proportion equation
   19,770 : 42,562 = 42,562 : x
2. Step 2: Convert to fraction form
   19,770/42,562 = 42,562/x
3. Step 3: Cross multiply
   19,770x = 42,562 × 42,562
4. Step 4: Simplify right side
   19,770x = 1,811,523,844
5. Step 5: Solve for x
   x = 1,811,523,844/19,770
6. Step 6: Final answer
   x = 91,629.94