Finding the Third Proportional to 31,530 and 65,979.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,530 : 65,979.75 = 65,979.75 : x
2. Step 2: Convert to fraction form
   31,530/65,979.75 = 65,979.75/x
3. Step 3: Cross multiply
   31,530x = 65,979.75 × 65,979.75
4. Step 4: Simplify right side
   31,530x = 4,353,327,410.06
5. Step 5: Solve for x
   x = 4,353,327,410.06/31,530
6. Step 6: Final answer
   x = 138,069.38