Finding the Third Proportional to 30,309.75 and 65,803.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,309.75 : 65,803.50 = 65,803.50 : x
2. Step 2: Convert to fraction form
   30,309.75/65,803.50 = 65,803.50/x
3. Step 3: Cross multiply
   30,309.75x = 65,803.50 × 65,803.50
4. Step 4: Simplify right side
   30,309.75x = 4,330,100,612.25
5. Step 5: Solve for x
   x = 4,330,100,612.25/30,309.75
6. Step 6: Final answer
   x = 142,861.64