Finding the Third Proportional to 42,846 and 65,898

Step by Step Solution

1. Step 1: Write the proportion equation
   42,846 : 65,898 = 65,898 : x
2. Step 2: Convert to fraction form
   42,846/65,898 = 65,898/x
3. Step 3: Cross multiply
   42,846x = 65,898 × 65,898
4. Step 4: Simplify right side
   42,846x = 4,342,546,404
5. Step 5: Solve for x
   x = 4,342,546,404/42,846
6. Step 6: Final answer
   x = 101,352.43