Finding the Third Proportional to 65,747 and 106,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,747 : 106,817.50 = 106,817.50 : x
2. Step 2: Convert to fraction form
   65,747/106,817.50 = 106,817.50/x
3. Step 3: Cross multiply
   65,747x = 106,817.50 × 106,817.50
4. Step 4: Simplify right side
   65,747x = 11,409,978,306.25
5. Step 5: Solve for x
   x = 11,409,978,306.25/65,747
6. Step 6: Final answer
   x = 173,543.71