Finding the Third Proportional to 31,529.25 and 64,698.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,529.25 : 64,698.75 = 64,698.75 : x
2. Step 2: Convert to fraction form
   31,529.25/64,698.75 = 64,698.75/x
3. Step 3: Cross multiply
   31,529.25x = 64,698.75 × 64,698.75
4. Step 4: Simplify right side
   31,529.25x = 4,185,928,251.56
5. Step 5: Solve for x
   x = 4,185,928,251.56/31,529.25
6. Step 6: Final answer
   x = 132,763.33