Finding the Third Proportional to 32,661 and 51,786

Step by Step Solution

1. Step 1: Write the proportion equation
   32,661 : 51,786 = 51,786 : x
2. Step 2: Convert to fraction form
   32,661/51,786 = 51,786/x
3. Step 3: Cross multiply
   32,661x = 51,786 × 51,786
4. Step 4: Simplify right side
   32,661x = 2,681,789,796
5. Step 5: Solve for x
   x = 2,681,789,796/32,661
6. Step 6: Final answer
   x = 82,109.85