Finding the Third Proportional to 65,757 and 101,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,757 : 101,704.50 = 101,704.50 : x
2. Step 2: Convert to fraction form
   65,757/101,704.50 = 101,704.50/x
3. Step 3: Cross multiply
   65,757x = 101,704.50 × 101,704.50
4. Step 4: Simplify right side
   65,757x = 10,343,805,320.25
5. Step 5: Solve for x
   x = 10,343,805,320.25/65,757
6. Step 6: Final answer
   x = 157,303.49