Finding the Third Proportional to 30,820.50 and 65,751.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,820.50 : 65,751.75 = 65,751.75 : x
2. Step 2: Convert to fraction form
   30,820.50/65,751.75 = 65,751.75/x
3. Step 3: Cross multiply
   30,820.50x = 65,751.75 × 65,751.75
4. Step 4: Simplify right side
   30,820.50x = 4,323,292,628.06
5. Step 5: Solve for x
   x = 4,323,292,628.06/30,820.50
6. Step 6: Final answer
   x = 140,273.28