Finding the Third Proportional to 65,853 and 101,871

Step by Step Solution

1. Step 1: Write the proportion equation
   65,853 : 101,871 = 101,871 : x
2. Step 2: Convert to fraction form
   65,853/101,871 = 101,871/x
3. Step 3: Cross multiply
   65,853x = 101,871 × 101,871
4. Step 4: Simplify right side
   65,853x = 10,377,700,641
5. Step 5: Solve for x
   x = 10,377,700,641/65,853
6. Step 6: Final answer
   x = 157,588.88