Finding the Third Proportional to 19,426 and 45,665

Step by Step Solution

1. Step 1: Write the proportion equation
   19,426 : 45,665 = 45,665 : x
2. Step 2: Convert to fraction form
   19,426/45,665 = 45,665/x
3. Step 3: Cross multiply
   19,426x = 45,665 × 45,665
4. Step 4: Simplify right side
   19,426x = 2,085,292,225
5. Step 5: Solve for x
   x = 2,085,292,225/19,426
6. Step 6: Final answer
   x = 107,345.42