Finding the Third Proportional to 19,835 and 41,314

Step by Step Solution

1. Step 1: Write the proportion equation
   19,835 : 41,314 = 41,314 : x
2. Step 2: Convert to fraction form
   19,835/41,314 = 41,314/x
3. Step 3: Cross multiply
   19,835x = 41,314 × 41,314
4. Step 4: Simplify right side
   19,835x = 1,706,846,596
5. Step 5: Solve for x
   x = 1,706,846,596/19,835
6. Step 6: Final answer
   x = 86,052.26