Finding the Third Proportional to 15,786 and 32,116

Step by Step Solution

1. Step 1: Write the proportion equation
   15,786 : 32,116 = 32,116 : x
2. Step 2: Convert to fraction form
   15,786/32,116 = 32,116/x
3. Step 3: Cross multiply
   15,786x = 32,116 × 32,116
4. Step 4: Simplify right side
   15,786x = 1,031,437,456
5. Step 5: Solve for x
   x = 1,031,437,456/15,786
6. Step 6: Final answer
   x = 65,338.75