Finding the Third Proportional to 65,754 and 101,844

Step by Step Solution

1. Step 1: Write the proportion equation
   65,754 : 101,844 = 101,844 : x
2. Step 2: Convert to fraction form
   65,754/101,844 = 101,844/x
3. Step 3: Cross multiply
   65,754x = 101,844 × 101,844
4. Step 4: Simplify right side
   65,754x = 10,372,200,336
5. Step 5: Solve for x
   x = 10,372,200,336/65,754
6. Step 6: Final answer
   x = 157,742.50