Finding the Third Proportional to 39,846 and 55,851

Step by Step Solution

1. Step 1: Write the proportion equation
   39,846 : 55,851 = 55,851 : x
2. Step 2: Convert to fraction form
   39,846/55,851 = 55,851/x
3. Step 3: Cross multiply
   39,846x = 55,851 × 55,851
4. Step 4: Simplify right side
   39,846x = 3,119,334,201
5. Step 5: Solve for x
   x = 3,119,334,201/39,846
6. Step 6: Final answer
   x = 78,284.75