Finding the Third Proportional to 19,424 and 45,662

Step by Step Solution

1. Step 1: Write the proportion equation
   19,424 : 45,662 = 45,662 : x
2. Step 2: Convert to fraction form
   19,424/45,662 = 45,662/x
3. Step 3: Cross multiply
   19,424x = 45,662 × 45,662
4. Step 4: Simplify right side
   19,424x = 2,085,018,244
5. Step 5: Solve for x
   x = 2,085,018,244/19,424
6. Step 6: Final answer
   x = 107,342.37