Finding the Third Proportional to 65,844 and 96,300

Step by Step Solution

1. Step 1: Write the proportion equation
   65,844 : 96,300 = 96,300 : x
2. Step 2: Convert to fraction form
   65,844/96,300 = 96,300/x
3. Step 3: Cross multiply
   65,844x = 96,300 × 96,300
4. Step 4: Simplify right side
   65,844x = 9,273,690,000
5. Step 5: Solve for x
   x = 9,273,690,000/65,844
6. Step 6: Final answer
   x = 140,843.36