Finding the Third Proportional to 31,776.75 and 69,204.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,776.75 : 69,204.75 = 69,204.75 : x
2. Step 2: Convert to fraction form
   31,776.75/69,204.75 = 69,204.75/x
3. Step 3: Cross multiply
   31,776.75x = 69,204.75 × 69,204.75
4. Step 4: Simplify right side
   31,776.75x = 4,789,297,422.56
5. Step 5: Solve for x
   x = 4,789,297,422.56/31,776.75
6. Step 6: Final answer
   x = 150,717.03