Finding the Third Proportional to 32,648 and 51,886

Step by Step Solution

1. Step 1: Write the proportion equation
   32,648 : 51,886 = 51,886 : x
2. Step 2: Convert to fraction form
   32,648/51,886 = 51,886/x
3. Step 3: Cross multiply
   32,648x = 51,886 × 51,886
4. Step 4: Simplify right side
   32,648x = 2,692,156,996
5. Step 5: Solve for x
   x = 2,692,156,996/32,648
6. Step 6: Final answer
   x = 82,460.09