Finding the Third Proportional to 65,978 and 101,931

Step by Step Solution

1. Step 1: Write the proportion equation
   65,978 : 101,931 = 101,931 : x
2. Step 2: Convert to fraction form
   65,978/101,931 = 101,931/x
3. Step 3: Cross multiply
   65,978x = 101,931 × 101,931
4. Step 4: Simplify right side
   65,978x = 10,389,928,761
5. Step 5: Solve for x
   x = 10,389,928,761/65,978
6. Step 6: Final answer
   x = 157,475.65