Finding the Third Proportional to 42,284 and 65,847

Step by Step Solution

1. Step 1: Write the proportion equation
   42,284 : 65,847 = 65,847 : x
2. Step 2: Convert to fraction form
   42,284/65,847 = 65,847/x
3. Step 3: Cross multiply
   42,284x = 65,847 × 65,847
4. Step 4: Simplify right side
   42,284x = 4,335,827,409
5. Step 5: Solve for x
   x = 4,335,827,409/42,284
6. Step 6: Final answer
   x = 102,540.62