Finding the Third Proportional to 19,649 and 42,413

Step by Step Solution

1. Step 1: Write the proportion equation
   19,649 : 42,413 = 42,413 : x
2. Step 2: Convert to fraction form
   19,649/42,413 = 42,413/x
3. Step 3: Cross multiply
   19,649x = 42,413 × 42,413
4. Step 4: Simplify right side
   19,649x = 1,798,862,569
5. Step 5: Solve for x
   x = 1,798,862,569/19,649
6. Step 6: Final answer
   x = 91,549.83