Finding the Third Proportional to 65,642 and 101,832

Step by Step Solution

1. Step 1: Write the proportion equation
   65,642 : 101,832 = 101,832 : x
2. Step 2: Convert to fraction form
   65,642/101,832 = 101,832/x
3. Step 3: Cross multiply
   65,642x = 101,832 × 101,832
4. Step 4: Simplify right side
   65,642x = 10,369,756,224
5. Step 5: Solve for x
   x = 10,369,756,224/65,642
6. Step 6: Final answer
   x = 157,974.41