Finding the Third Proportional to 65,636 and 101,830

Step by Step Solution

1. Step 1: Write the proportion equation
   65,636 : 101,830 = 101,830 : x
2. Step 2: Convert to fraction form
   65,636/101,830 = 101,830/x
3. Step 3: Cross multiply
   65,636x = 101,830 × 101,830
4. Step 4: Simplify right side
   65,636x = 10,369,348,900
5. Step 5: Solve for x
   x = 10,369,348,900/65,636
6. Step 6: Final answer
   x = 157,982.65