Finding the Third Proportional to 31,786.31 and 69,107.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,786.31 : 69,107.63 = 69,107.63 : x
2. Step 2: Convert to fraction form
   31,786.31/69,107.63 = 69,107.63/x
3. Step 3: Cross multiply
   31,786.31x = 69,107.63 × 69,107.63
4. Step 4: Simplify right side
   31,786.31x = 4,775,863,833.14
5. Step 5: Solve for x
   x = 4,775,863,833.14/31,786.31
6. Step 6: Final answer
   x = 150,249.07