Finding the Third Proportional to 65,732 and 101,970

Step by Step Solution

1. Step 1: Write the proportion equation
   65,732 : 101,970 = 101,970 : x
2. Step 2: Convert to fraction form
   65,732/101,970 = 101,970/x
3. Step 3: Cross multiply
   65,732x = 101,970 × 101,970
4. Step 4: Simplify right side
   65,732x = 10,397,880,900
5. Step 5: Solve for x
   x = 10,397,880,900/65,732
6. Step 6: Final answer
   x = 158,185.98