Finding the Third Proportional to 65,543 and 100,749

Step by Step Solution

1. Step 1: Write the proportion equation
   65,543 : 100,749 = 100,749 : x
2. Step 2: Convert to fraction form
   65,543/100,749 = 100,749/x
3. Step 3: Cross multiply
   65,543x = 100,749 × 100,749
4. Step 4: Simplify right side
   65,543x = 10,150,361,001
5. Step 5: Solve for x
   x = 10,150,361,001/65,543
6. Step 6: Final answer
   x = 154,865.68