Finding the Third Proportional to 31,628.81 and 69,013.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31,628.81 : 69,013.69 = 69,013.69 : x
2. Step 2: Convert to fraction form
   31,628.81/69,013.69 = 69,013.69/x
3. Step 3: Cross multiply
   31,628.81x = 69,013.69 × 69,013.69
4. Step 4: Simplify right side
   31,628.81x = 4,762,889,062.35
5. Step 5: Solve for x
   x = 4,762,889,062.35/31,628.81
6. Step 6: Final answer
   x = 150,587.03