Finding the Third Proportional to 31,309.50 and 65,205

Step by Step Solution

1. Step 1: Write the proportion equation
   31,309.50 : 65,205 = 65,205 : x
2. Step 2: Convert to fraction form
   31,309.50/65,205 = 65,205/x
3. Step 3: Cross multiply
   31,309.50x = 65,205 × 65,205
4. Step 4: Simplify right side
   31,309.50x = 4,251,692,025
5. Step 5: Solve for x
   x = 4,251,692,025/31,309.50
6. Step 6: Final answer
   x = 135,795.59